Project acronym ATOMKI-PPROCESS
Project Nuclear reaction studies relevant to the astrophysical p-process nucleosynthesis
Researcher (PI) György Gyürky
Host Institution (HI) Magyar Tudomanyos Akademia Atommagkutato Intezete
Call Details Starting Grant (StG), PE2, ERC-2007-StG
Summary The astrophysical p-process, the stellar production mechanism of the heavy, proton rich isotopes (p-isotopes), is one of the least studied processes in nucleosynthesis. The astrophysical site(s) for the p-process could not yet be clearly identified. In order to reproduce the natural abundances of the p-isotopes, the p-process models must take into account a huge nuclear reaction network. A precise knowledge of the rate of the nuclear reactions in this network is essential for a reliable abundance calculation and for a clear assignment of the astrophysical site(s). For lack of experimental data the nuclear physics inputs for the reaction networks are based on statistical model calculations. These calculations are largely untested in the mass and energy range relevant to the p-process and the uncertainties in the reaction rate values result in a correspondingly uncertain prediction of the p-isotope abundances. Therefore, experiments aiming at the determination of reaction rates for the p-process are of great importance. In this project nuclear reaction cross section measurements will be carried out in the mass and energy range of p-process to check the reliability of the statistical model calculations and to put the p-process models on a more reliable base. The accelerators of the Institute of Nuclear Research in Debrecen, Hungary provide the necessary basis for such studies. The p-process model calculations are especially sensitive to the rates of reactions involving alpha particles and heavy nuclei. Because of technical difficulties, so far there are practically no experimental data available on such reactions and the uncertainty in these reaction rates is presently one of the biggest contributions to the uncertainty of p-isotope abundance calculations. With the help of the ERC grant the alpha-induced reaction cross sections can be measured on heavy isotopes for the first time, which could contribute to a better understanding of the astrophysical p-process.
Summary
The astrophysical p-process, the stellar production mechanism of the heavy, proton rich isotopes (p-isotopes), is one of the least studied processes in nucleosynthesis. The astrophysical site(s) for the p-process could not yet be clearly identified. In order to reproduce the natural abundances of the p-isotopes, the p-process models must take into account a huge nuclear reaction network. A precise knowledge of the rate of the nuclear reactions in this network is essential for a reliable abundance calculation and for a clear assignment of the astrophysical site(s). For lack of experimental data the nuclear physics inputs for the reaction networks are based on statistical model calculations. These calculations are largely untested in the mass and energy range relevant to the p-process and the uncertainties in the reaction rate values result in a correspondingly uncertain prediction of the p-isotope abundances. Therefore, experiments aiming at the determination of reaction rates for the p-process are of great importance. In this project nuclear reaction cross section measurements will be carried out in the mass and energy range of p-process to check the reliability of the statistical model calculations and to put the p-process models on a more reliable base. The accelerators of the Institute of Nuclear Research in Debrecen, Hungary provide the necessary basis for such studies. The p-process model calculations are especially sensitive to the rates of reactions involving alpha particles and heavy nuclei. Because of technical difficulties, so far there are practically no experimental data available on such reactions and the uncertainty in these reaction rates is presently one of the biggest contributions to the uncertainty of p-isotope abundance calculations. With the help of the ERC grant the alpha-induced reaction cross sections can be measured on heavy isotopes for the first time, which could contribute to a better understanding of the astrophysical p-process.
Max ERC Funding
750 000 €
Duration
Start date: 2008-07-01, End date: 2013-06-30
Project acronym BRAINCANNABINOIDS
Project Understanding the molecular blueprint and functional complexity of the endocannabinoid metabolome in the brain
Researcher (PI) István Katona
Host Institution (HI) INSTITUTE OF EXPERIMENTAL MEDICINE - HUNGARIAN ACADEMY OF SCIENCES
Call Details Starting Grant (StG), LS5, ERC-2009-StG
Summary We and others have recently delineated the molecular architecture of a new feedback pathway in brain synapses, which operates as a synaptic circuit breaker. This pathway is supposed to use a group of lipid messengers as retrograde synaptic signals, the so-called endocannabinoids. Although heterogeneous in their chemical structures, these molecules along with the psychoactive compound in cannabis are thought to target the same effector in the brain, the CB1 receptor. However, the molecular catalog of these bioactive lipids and their metabolic enzymes has been expanding rapidly by recent advances in lipidomics and proteomics raising the possibility that these lipids may also serve novel, yet unidentified physiological functions. Thus, the overall aim of our research program is to define the molecular and anatomical organization of these endocannabinoid-mediated pathways and to determine their functional significance. In the present proposal, we will focus on understanding how these novel pathways regulate synaptic and extrasynaptic signaling in hippocampal neurons. Using combination of lipidomic, genetic and high-resolution anatomical approaches, we will identify distinct chemical species of endocannabinoids and will show how their metabolic enzymes are segregated into different subcellular compartments in cell type- and synapse-specific manner. Subsequently, we will use genetically encoded gain-of-function, loss-of-function and reporter constructs in imaging experiments and electrophysiological recordings to gain insights into the diverse tasks that these new pathways serve in synaptic transmission and extrasynaptic signal processing. Our proposed experiments will reveal fundamental principles of intercellular and intracellular endocannabinoid signaling in the brain.
Summary
We and others have recently delineated the molecular architecture of a new feedback pathway in brain synapses, which operates as a synaptic circuit breaker. This pathway is supposed to use a group of lipid messengers as retrograde synaptic signals, the so-called endocannabinoids. Although heterogeneous in their chemical structures, these molecules along with the psychoactive compound in cannabis are thought to target the same effector in the brain, the CB1 receptor. However, the molecular catalog of these bioactive lipids and their metabolic enzymes has been expanding rapidly by recent advances in lipidomics and proteomics raising the possibility that these lipids may also serve novel, yet unidentified physiological functions. Thus, the overall aim of our research program is to define the molecular and anatomical organization of these endocannabinoid-mediated pathways and to determine their functional significance. In the present proposal, we will focus on understanding how these novel pathways regulate synaptic and extrasynaptic signaling in hippocampal neurons. Using combination of lipidomic, genetic and high-resolution anatomical approaches, we will identify distinct chemical species of endocannabinoids and will show how their metabolic enzymes are segregated into different subcellular compartments in cell type- and synapse-specific manner. Subsequently, we will use genetically encoded gain-of-function, loss-of-function and reporter constructs in imaging experiments and electrophysiological recordings to gain insights into the diverse tasks that these new pathways serve in synaptic transmission and extrasynaptic signal processing. Our proposed experiments will reveal fundamental principles of intercellular and intracellular endocannabinoid signaling in the brain.
Max ERC Funding
1 638 000 €
Duration
Start date: 2009-11-01, End date: 2014-10-31
Project acronym CholAminCo
Project Synergy and antagonism of cholinergic and dopaminergic systems in associative learning
Researcher (PI) Balazs Gyoergy HANGYA
Host Institution (HI) INSTITUTE OF EXPERIMENTAL MEDICINE - HUNGARIAN ACADEMY OF SCIENCES
Call Details Starting Grant (StG), LS5, ERC-2016-STG
Summary Neuromodulators such as acetylcholine and dopamine are able to rapidly reprogram neuronal information processing and dynamically change brain states. Degeneration or dysfunction of cholinergic and dopaminergic neurons can lead to neuropsychiatric conditions like schizophrenia and addiction or cognitive diseases such as Alzheimer’s. Neuromodulatory systems control overlapping cognitive processes and often have similar modes of action; therefore it is important to reveal cooperation and competition between different systems to understand their unique contributions to cognitive functions like learning, memory and attention. This is only possible by direct comparison, which necessitates monitoring multiple neuromodulatory systems under identical experimental conditions. Moreover, simultaneous recording of different neuromodulatory cell types goes beyond phenomenological description of similarities and differences by revealing the underlying correlation structure at the level of action potential timing. However, such data allowing direct comparison of neuromodulatory actions are still sparse. As a first step to bridge this gap, I propose to elucidate the unique versus complementary roles of two “classical” neuromodulatory systems, the cholinergic and dopaminergic projection system implicated in various cognitive functions including associative learning and plasticity. First, we will record optogenetically identified cholinergic and dopaminergic neurons simultaneously using chronic extracellular recording in mice undergoing classical and operant conditioning. Second, we will determine the postsynaptic impact of cholinergic and dopaminergic neurons by manipulating them both separately and simultaneously while recording consequential changes in cortical neuronal activity and learning behaviour. These experiments will reveal how major neuromodulatory systems interact to mediate similar or different aspects of the same cognitive functions.
Summary
Neuromodulators such as acetylcholine and dopamine are able to rapidly reprogram neuronal information processing and dynamically change brain states. Degeneration or dysfunction of cholinergic and dopaminergic neurons can lead to neuropsychiatric conditions like schizophrenia and addiction or cognitive diseases such as Alzheimer’s. Neuromodulatory systems control overlapping cognitive processes and often have similar modes of action; therefore it is important to reveal cooperation and competition between different systems to understand their unique contributions to cognitive functions like learning, memory and attention. This is only possible by direct comparison, which necessitates monitoring multiple neuromodulatory systems under identical experimental conditions. Moreover, simultaneous recording of different neuromodulatory cell types goes beyond phenomenological description of similarities and differences by revealing the underlying correlation structure at the level of action potential timing. However, such data allowing direct comparison of neuromodulatory actions are still sparse. As a first step to bridge this gap, I propose to elucidate the unique versus complementary roles of two “classical” neuromodulatory systems, the cholinergic and dopaminergic projection system implicated in various cognitive functions including associative learning and plasticity. First, we will record optogenetically identified cholinergic and dopaminergic neurons simultaneously using chronic extracellular recording in mice undergoing classical and operant conditioning. Second, we will determine the postsynaptic impact of cholinergic and dopaminergic neurons by manipulating them both separately and simultaneously while recording consequential changes in cortical neuronal activity and learning behaviour. These experiments will reveal how major neuromodulatory systems interact to mediate similar or different aspects of the same cognitive functions.
Max ERC Funding
1 499 463 €
Duration
Start date: 2017-05-01, End date: 2022-04-30
Project acronym COLLMOT
Project Complex structure and dynamics of collective motion
Researcher (PI) Tamás Vicsek
Host Institution (HI) EOTVOS LORAND TUDOMANYEGYETEM
Call Details Advanced Grant (AdG), PE3, ERC-2008-AdG
Summary Collective behaviour is a widespread phenomenon in nature and technology making it a very important subject to study in various contexts. The main goal we intend to achieve in our multidisciplinary research is the identification and documentation of new unifying principles describing the essential aspects of collective motion, being one of the most relevant and spectacular manifestations of collective behaviour. We shall carry out novel type of experiments, design models that are both simple and realistic enough to reproduce the observations and develop concepts for a better interpretation of the complexity of systems consisting of many organisms and such non-living objects as interacting robots. We plan to study systems ranging from cultures of migrating tissue cells through flocks of birds to collectively moving devices. The interrelation of these systems will be considered in order to deepen the understanding of the main patterns of group motion in both living and non-living systems by learning about the similar phenomena in the two domains of nature. Thus, we plan to understand the essential ingredients of flocking of birds by building collectively moving unmanned aerial vehicles while, in turn, high resolution spatiotemporal GPS data of pigeon flocks will be used to make helpful conclusions for the best designs for swarms of robots. In particular, we shall construct and build a set of vehicles that will be capable, for the first time, to exhibit flocking behaviour in the three-dimensional space. The methods we shall adopt will range from approaches used in statistical physics and network theory to various new techniques in cell biology and collective robotics. All this will be based on numerous prior results (both ours and others) published in leading interdisciplinary journals. The planned research will have the potential of leading to ground breaking results with significant implications in various fields of science and technology.
Summary
Collective behaviour is a widespread phenomenon in nature and technology making it a very important subject to study in various contexts. The main goal we intend to achieve in our multidisciplinary research is the identification and documentation of new unifying principles describing the essential aspects of collective motion, being one of the most relevant and spectacular manifestations of collective behaviour. We shall carry out novel type of experiments, design models that are both simple and realistic enough to reproduce the observations and develop concepts for a better interpretation of the complexity of systems consisting of many organisms and such non-living objects as interacting robots. We plan to study systems ranging from cultures of migrating tissue cells through flocks of birds to collectively moving devices. The interrelation of these systems will be considered in order to deepen the understanding of the main patterns of group motion in both living and non-living systems by learning about the similar phenomena in the two domains of nature. Thus, we plan to understand the essential ingredients of flocking of birds by building collectively moving unmanned aerial vehicles while, in turn, high resolution spatiotemporal GPS data of pigeon flocks will be used to make helpful conclusions for the best designs for swarms of robots. In particular, we shall construct and build a set of vehicles that will be capable, for the first time, to exhibit flocking behaviour in the three-dimensional space. The methods we shall adopt will range from approaches used in statistical physics and network theory to various new techniques in cell biology and collective robotics. All this will be based on numerous prior results (both ours and others) published in leading interdisciplinary journals. The planned research will have the potential of leading to ground breaking results with significant implications in various fields of science and technology.
Max ERC Funding
1 248 000 €
Duration
Start date: 2009-03-01, End date: 2015-02-28
Project acronym COOPAIRENT
Project Cooper pairs as a source of entanglement
Researcher (PI) Szabolcs Csonka
Host Institution (HI) BUDAPESTI MUSZAKI ES GAZDASAGTUDOMANYI EGYETEM
Call Details Starting Grant (StG), PE3, ERC-2010-StG_20091028
Summary Entanglement and non-locality are spectacular fundamentals of quantum mechanics and basic resources of future quantum computation algorithms. Electronic entanglement has attracted increasing attention during the last years. The electron spin as a purely quantum mechanical two level system has been put forward as a promising candidate for storing quantum information in solid state. Recently, great progress has been achieved in manipulation and read-out of quantum dot based spin Qubits. However, electron spin is also suitable to transfer quantum information, since mobile electrons can be coherently transmitted in a solid state device preserving the spin information. Thus, electron spin could provide a general platform for on-chip quantum computation and information processing.
Although several theoretical concepts have been worked out to address spin entangled mobile electrons, the absence of an entangler device has not allowed their realization so far. The aim of the present proposal is to overcome this experimental challenge and explore the entanglement of spatially separated electron pairs. Superconductors provide a natural source of entanglement, because their ground-state is composed of Cooper pairs in a spin-singlet state. However, the splitting of the Cooper pairs into separate electrons has to be enforced, which has been very recently realized by the applicant in two quantum dot Y-junction. This Y-junction will be used as a central building block to split Cooper pairs in a controlled fashion and the non-local nature of spin and charge correlations will be addressed in various device configurations.
Our research project will lead to a fundamental understanding of the production, manipulation and detection of spin entangled mobile electron pairs, thus it will significantly extend the frontiers of quantum coherence and opens a new horizon in the field of on-chip quantum information technologies.
Summary
Entanglement and non-locality are spectacular fundamentals of quantum mechanics and basic resources of future quantum computation algorithms. Electronic entanglement has attracted increasing attention during the last years. The electron spin as a purely quantum mechanical two level system has been put forward as a promising candidate for storing quantum information in solid state. Recently, great progress has been achieved in manipulation and read-out of quantum dot based spin Qubits. However, electron spin is also suitable to transfer quantum information, since mobile electrons can be coherently transmitted in a solid state device preserving the spin information. Thus, electron spin could provide a general platform for on-chip quantum computation and information processing.
Although several theoretical concepts have been worked out to address spin entangled mobile electrons, the absence of an entangler device has not allowed their realization so far. The aim of the present proposal is to overcome this experimental challenge and explore the entanglement of spatially separated electron pairs. Superconductors provide a natural source of entanglement, because their ground-state is composed of Cooper pairs in a spin-singlet state. However, the splitting of the Cooper pairs into separate electrons has to be enforced, which has been very recently realized by the applicant in two quantum dot Y-junction. This Y-junction will be used as a central building block to split Cooper pairs in a controlled fashion and the non-local nature of spin and charge correlations will be addressed in various device configurations.
Our research project will lead to a fundamental understanding of the production, manipulation and detection of spin entangled mobile electron pairs, thus it will significantly extend the frontiers of quantum coherence and opens a new horizon in the field of on-chip quantum information technologies.
Max ERC Funding
1 496 112 €
Duration
Start date: 2011-02-01, End date: 2016-10-31
Project acronym COSMASS
Project Constraining Stellar Mass and Supermassive Black Hole Growth through Cosmic Times: Paving the way for the next generation sky surveys
Researcher (PI) Vernesa Smolcic
Host Institution (HI) FACULTY OF SCIENCE UNIVERSITY OF ZAGREB
Call Details Starting Grant (StG), PE9, ERC-2013-StG
Summary Understanding how galaxies form in the early universe and how they evolve through cosmic time is a major goal of modern astrophysics. Panchromatic look-back sky surveys significantly advanced the field in the past decade, and we are now entering a 'golden age' of radio astronomy given an order of magnitude improved facilities like JVLA, ATCA and ALMA. I am leading two unique, state-of-the-art (JVLA/ATCA) radio surveys that will push to the next frontiers. The proposed ERC project will focus on the growth of stellar and black-hole mass in galaxies across cosmic time by: 1-probing various types of extremely faint radio sources over cosmic time, revealing the debated abundance of faint radio sources, 2-exploring star formation conditions at early cosmic times, allowing to access for the first time the dust-unbiased cosmic star formation history since the epoch of reionization, 3-performing the first census of high-redshift starbursting galaxies (SMGs), and their role in galaxy formation and evolution, and 4-performing a full census of galaxies hosting supermassive black holes (AGN), with different black-hole accretion modes, and their roles in galaxy evolution.
The exploitation of these radio sky surveys is essential for the preparation and success of the future large facilities like ASKAP, and SKA as they will 1-provide best predictions of the to-date uncertain cosmic radio background seen with the SKA, and 2-optimize photometric redshift estimates, essential for the success of the first ASKAP sky survey (EMU, >2016).
My radio surveys, expected to yield >100 refereed publications, carry an immense legacy value. The proposed ERC funding is essential for the success of these timely surveys, which I will conduct from Croatia. The ERC grant will allow me to lead my own research group working on this novel data, and to even more firmly establish myself as a leading survey scientist, and lead my group to internationally competitive levels, and enhance EU competitiveness.
Summary
Understanding how galaxies form in the early universe and how they evolve through cosmic time is a major goal of modern astrophysics. Panchromatic look-back sky surveys significantly advanced the field in the past decade, and we are now entering a 'golden age' of radio astronomy given an order of magnitude improved facilities like JVLA, ATCA and ALMA. I am leading two unique, state-of-the-art (JVLA/ATCA) radio surveys that will push to the next frontiers. The proposed ERC project will focus on the growth of stellar and black-hole mass in galaxies across cosmic time by: 1-probing various types of extremely faint radio sources over cosmic time, revealing the debated abundance of faint radio sources, 2-exploring star formation conditions at early cosmic times, allowing to access for the first time the dust-unbiased cosmic star formation history since the epoch of reionization, 3-performing the first census of high-redshift starbursting galaxies (SMGs), and their role in galaxy formation and evolution, and 4-performing a full census of galaxies hosting supermassive black holes (AGN), with different black-hole accretion modes, and their roles in galaxy evolution.
The exploitation of these radio sky surveys is essential for the preparation and success of the future large facilities like ASKAP, and SKA as they will 1-provide best predictions of the to-date uncertain cosmic radio background seen with the SKA, and 2-optimize photometric redshift estimates, essential for the success of the first ASKAP sky survey (EMU, >2016).
My radio surveys, expected to yield >100 refereed publications, carry an immense legacy value. The proposed ERC funding is essential for the success of these timely surveys, which I will conduct from Croatia. The ERC grant will allow me to lead my own research group working on this novel data, and to even more firmly establish myself as a leading survey scientist, and lead my group to internationally competitive levels, and enhance EU competitiveness.
Max ERC Funding
1 500 000 €
Duration
Start date: 2014-02-01, End date: 2019-01-31
Project acronym DeCode
Project Dendrites and memory: role of dendritic spikes in information coding by hippocampal CA3 pyramidal neurons
Researcher (PI) Judit MAKARA
Host Institution (HI) INSTITUTE OF EXPERIMENTAL MEDICINE - HUNGARIAN ACADEMY OF SCIENCES
Call Details Consolidator Grant (CoG), LS5, ERC-2017-COG
Summary The hippocampus is essential for building episodic memories. Coding of locations, contexts or events in the hippocampus is based on the correlated activity of neuronal ensembles; however, the mechanisms promoting the recruitment of individual neurons into information-coding ensembles are poorly understood.
In particular, the recurrent synaptic network of pyramidal cells (PCs) in the hippocampal CA3 area, receiving external inputs from the entorhinal cortex and the dentate gyrus, is thought to be essential for associative memory. Current models of the associative functions of CA3 are mainly based on plasticity of these synaptic connections. Recent work by us and others however suggests that active, voltage-dependent properties of CA3PC dendrites may also promote ensemble functions. Dendritic voltage-dependent ion channels allow nonlinear amplification of spatiotemporally correlated synaptic inputs (such as those produced by ensemble activity) and can even generate local dendritic spikes, which may elicit specific action potential patterns and induce synaptic plasticity. Furthermore, dendritic processing may be modulated by activity-dependent regulation of dendritic ion channels. However, still little is known about the active properties of CA3PC dendrites and their functions during spatial coding or memory tasks.
The general aim of my research program is to understand the cellular mechanisms that underlie the formation of hippocampal memory-coding neuronal ensembles. Specifically, we will test the hypothesis that active input integration by dendrites of individual CA3PCs plays an important role in their recruitment into specific context-coding ensembles. By combining in vitro (patch-clamp electrophysiology and two-photon (2P) microscopy in slices) and in vivo (2P imaging and activity-dependent labelling in behaving rodents) approaches, we will provide an in-depth understanding of the dendritic components contributing to the generation of the CA3 ensemble code.
Summary
The hippocampus is essential for building episodic memories. Coding of locations, contexts or events in the hippocampus is based on the correlated activity of neuronal ensembles; however, the mechanisms promoting the recruitment of individual neurons into information-coding ensembles are poorly understood.
In particular, the recurrent synaptic network of pyramidal cells (PCs) in the hippocampal CA3 area, receiving external inputs from the entorhinal cortex and the dentate gyrus, is thought to be essential for associative memory. Current models of the associative functions of CA3 are mainly based on plasticity of these synaptic connections. Recent work by us and others however suggests that active, voltage-dependent properties of CA3PC dendrites may also promote ensemble functions. Dendritic voltage-dependent ion channels allow nonlinear amplification of spatiotemporally correlated synaptic inputs (such as those produced by ensemble activity) and can even generate local dendritic spikes, which may elicit specific action potential patterns and induce synaptic plasticity. Furthermore, dendritic processing may be modulated by activity-dependent regulation of dendritic ion channels. However, still little is known about the active properties of CA3PC dendrites and their functions during spatial coding or memory tasks.
The general aim of my research program is to understand the cellular mechanisms that underlie the formation of hippocampal memory-coding neuronal ensembles. Specifically, we will test the hypothesis that active input integration by dendrites of individual CA3PCs plays an important role in their recruitment into specific context-coding ensembles. By combining in vitro (patch-clamp electrophysiology and two-photon (2P) microscopy in slices) and in vivo (2P imaging and activity-dependent labelling in behaving rodents) approaches, we will provide an in-depth understanding of the dendritic components contributing to the generation of the CA3 ensemble code.
Max ERC Funding
1 990 314 €
Duration
Start date: 2018-06-01, End date: 2023-05-31
Project acronym DISCONV
Project DISCRETE AND CONVEX GEOMETRY: CHALLENGES, METHODS, APPLICATIONS
Researcher (PI) Imre Barany
Host Institution (HI) MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Call Details Advanced Grant (AdG), PE1, ERC-2010-AdG_20100224
Summary Title: Discrete and convex geometry: challenges, methods, applications
Abstract: Research in discrete and convex geometry, using tools from combinatorics, algebraic
topology, probability theory, number theory, and algebra, with applications in theoretical
computer science, integer programming, and operations research. Algorithmic aspects are
emphasized and often serve as motivation or simply dictate the questions. The proposed
problems can be grouped into three main areas: (1) Geometric transversal, selection, and
incidence problems, including algorithmic complexity of Tverberg's theorem, weak
epsilon-nets, the k-set problem, and algebraic approaches to the Erdos unit distance problem.
(2) Topological methods and questions, in particular topological Tverberg-type theorems,
algorithmic complexity of the existence of equivariant maps, mass partition problems, and the
generalized HeX lemma for the k-coloured d-dimensional grid. (3) Lattice polytopes and random
polytopes, including Arnold's question on the number of convex lattice polytopes, limit
shapes of lattice polytopes in dimension 3 and higher, comparison of random polytopes and
lattice polytopes, the integer convex hull and its randomized version.
Summary
Title: Discrete and convex geometry: challenges, methods, applications
Abstract: Research in discrete and convex geometry, using tools from combinatorics, algebraic
topology, probability theory, number theory, and algebra, with applications in theoretical
computer science, integer programming, and operations research. Algorithmic aspects are
emphasized and often serve as motivation or simply dictate the questions. The proposed
problems can be grouped into three main areas: (1) Geometric transversal, selection, and
incidence problems, including algorithmic complexity of Tverberg's theorem, weak
epsilon-nets, the k-set problem, and algebraic approaches to the Erdos unit distance problem.
(2) Topological methods and questions, in particular topological Tverberg-type theorems,
algorithmic complexity of the existence of equivariant maps, mass partition problems, and the
generalized HeX lemma for the k-coloured d-dimensional grid. (3) Lattice polytopes and random
polytopes, including Arnold's question on the number of convex lattice polytopes, limit
shapes of lattice polytopes in dimension 3 and higher, comparison of random polytopes and
lattice polytopes, the integer convex hull and its randomized version.
Max ERC Funding
1 298 012 €
Duration
Start date: 2011-04-01, End date: 2017-03-31
Project acronym DISCRETECONT
Project From discrete to contimuous: understanding discrete structures through continuous approximation
Researcher (PI) László Lovász
Host Institution (HI) EOTVOS LORAND TUDOMANYEGYETEM
Call Details Advanced Grant (AdG), PE1, ERC-2008-AdG
Summary Important methods and results in discrete mathematics arise from the interaction between discrete mathematics and ``continuous'' areas like analysis or geometry. Classical examples of this include topological methods, linear and semidefinite optimization generating functions and more. More recent areas stressing this connection are the theory of limit objects of growing sequences of finite structures (graphs, hypergraphs, sequences), differential equations on networks, geometric representations of graphs. Perhaps most promising is the study of limits of growing graph and hypergraph sequences. In resent work by the Proposer and his collaborators, this area has found highly nontrivial connections with extremal graph theory, the theory of property testing in computer science, to additive number theory, the theory of random graphs, and measure theory as well as geometric representations of graphs. This proposal's goal is to explore these interactions, with the participation of a number of researchers from different areas of mathematics.
Summary
Important methods and results in discrete mathematics arise from the interaction between discrete mathematics and ``continuous'' areas like analysis or geometry. Classical examples of this include topological methods, linear and semidefinite optimization generating functions and more. More recent areas stressing this connection are the theory of limit objects of growing sequences of finite structures (graphs, hypergraphs, sequences), differential equations on networks, geometric representations of graphs. Perhaps most promising is the study of limits of growing graph and hypergraph sequences. In resent work by the Proposer and his collaborators, this area has found highly nontrivial connections with extremal graph theory, the theory of property testing in computer science, to additive number theory, the theory of random graphs, and measure theory as well as geometric representations of graphs. This proposal's goal is to explore these interactions, with the participation of a number of researchers from different areas of mathematics.
Max ERC Funding
739 671 €
Duration
Start date: 2009-01-01, End date: 2014-06-30
Project acronym EAST-WEST
Project Vernacular religion on the boundary of Eastern and Western Christianity: continuity, changes and interactions
Researcher (PI) Zsoltné Csalog
Host Institution (HI) MAGYAR TUDOMANYOS AKADEMIA BOLCSESZETTUDOMANYI KUTATOKOZPONT
Call Details Advanced Grant (AdG), SH2, ERC-2012-ADG_20120411
Summary This interdisciplinary research project, relying on mutually complementary historical, anthropological and folklore investigations, will examine continuities and transformations in vernacular religion in the border-zone between Eastern and Western Christianity. The project will have three foci: 1) the role of the religious worldview and norms in past and present communities; 2) change and religious modernisation including the intertwining of the breaking up of the traditional worldview and the appearance of consumer-type attitudes of New Age religiosity; 3) the role of religion in identity formation and the emergence of religious pluralism and co-operation as well as of religious antagonism and conflict between different denominations and nationalities in the region. Members of the project will study these questions in Hungarian, Romanian, Serbian, Ukrainian and Croatian communities of mixed religion. Thematically the research will be organised around exploring symbolic exchange relationships (demonology and witchcraft) sacred communication (shrines, visions, miracles, saints) and healing using both historical sources and contemporary anthropological field work.
The project builds on two previous long-term historical/folkloristic research projects led by PI Éva Pócs and will expand and complement their findings through contemporary anthropological field research and continued archival work. Integrating the results of the current and earlier projects through an innovative electronic document collection, embedded in a geographical information system, will enhance the impact of both sets of materials.
The research will bring us closer to understanding a) inter-religious relationships between Catholic, Protestant and Orthodox believers, b) problems of national identity underlying religious antagonisms, and c) how religious and cultural border zones separate and unite, generate conflict and create mutual understanding, potentially promoting peaceful co-existence.
Summary
This interdisciplinary research project, relying on mutually complementary historical, anthropological and folklore investigations, will examine continuities and transformations in vernacular religion in the border-zone between Eastern and Western Christianity. The project will have three foci: 1) the role of the religious worldview and norms in past and present communities; 2) change and religious modernisation including the intertwining of the breaking up of the traditional worldview and the appearance of consumer-type attitudes of New Age religiosity; 3) the role of religion in identity formation and the emergence of religious pluralism and co-operation as well as of religious antagonism and conflict between different denominations and nationalities in the region. Members of the project will study these questions in Hungarian, Romanian, Serbian, Ukrainian and Croatian communities of mixed religion. Thematically the research will be organised around exploring symbolic exchange relationships (demonology and witchcraft) sacred communication (shrines, visions, miracles, saints) and healing using both historical sources and contemporary anthropological field work.
The project builds on two previous long-term historical/folkloristic research projects led by PI Éva Pócs and will expand and complement their findings through contemporary anthropological field research and continued archival work. Integrating the results of the current and earlier projects through an innovative electronic document collection, embedded in a geographical information system, will enhance the impact of both sets of materials.
The research will bring us closer to understanding a) inter-religious relationships between Catholic, Protestant and Orthodox believers, b) problems of national identity underlying religious antagonisms, and c) how religious and cultural border zones separate and unite, generate conflict and create mutual understanding, potentially promoting peaceful co-existence.
Max ERC Funding
2 079 485 €
Duration
Start date: 2013-09-01, End date: 2018-08-31
Project acronym ELITES08
Project Culturally Composite Elites, Regime Changes and Social Crises in Multi-Ethnic and Multi-Confessional Eastern Europe. (The Carpathian Basin and the Baltics in Comparison - cc. 1900-1950)
Researcher (PI) Gyozo István Karády
Host Institution (HI) KOZEP-EUROPAI EGYETEM
Call Details Advanced Grant (AdG), SH6, ERC-2008-AdG
Summary The project is multi-disciplinary by character. It focuses upon socio-historical processes of the transformation and 'circulation' of educated and ruling elites in several uniquely composite (both multi-ethnic and multi-confessional) East European regional or national societies, having experienced a number of radical changes of social and political regime as well as state souvereignty in the first half of the 20th century. The historical scope of the study extends from post-feudalism to communism. Societies involved comprise Hungary, Slovakia, Transylvania, Voivodina in the Carpathian Basin, Latvia and Estonia in the Baltics. The study draws upon sociological survey methods applied to historically successive elite brackets in form of exhaustive or quasi-exhaustive computerized prosopographical data banks, based on standardized individual biographies of elite members (as permitted by mostly archival sources to be exploited). The main targets would include secondary school graduates, students and graduates of higher education, the main intellectual professions (like doctors and lawyers.), the political power elites as well as 'reputational elites' - those cited in biographical dictionaries. The information fed into our data banks help to clarify thanks to various procedures of multi-variate statistical schemes the contrasting socio-cultural selection and recruitment of elite members, their educational path from primary to higher education, their professional career, intellectual creativity as well as socio-political standing and orientation. This is the first time that large region- or country-wide elite clusters are submitted to systematic socio-historical analyses, covering simultaneously all or most markets of activity and self-assertion of educated clusters in a vast international and comparative perspective related to culturally composite societal formations.
Summary
The project is multi-disciplinary by character. It focuses upon socio-historical processes of the transformation and 'circulation' of educated and ruling elites in several uniquely composite (both multi-ethnic and multi-confessional) East European regional or national societies, having experienced a number of radical changes of social and political regime as well as state souvereignty in the first half of the 20th century. The historical scope of the study extends from post-feudalism to communism. Societies involved comprise Hungary, Slovakia, Transylvania, Voivodina in the Carpathian Basin, Latvia and Estonia in the Baltics. The study draws upon sociological survey methods applied to historically successive elite brackets in form of exhaustive or quasi-exhaustive computerized prosopographical data banks, based on standardized individual biographies of elite members (as permitted by mostly archival sources to be exploited). The main targets would include secondary school graduates, students and graduates of higher education, the main intellectual professions (like doctors and lawyers.), the political power elites as well as 'reputational elites' - those cited in biographical dictionaries. The information fed into our data banks help to clarify thanks to various procedures of multi-variate statistical schemes the contrasting socio-cultural selection and recruitment of elite members, their educational path from primary to higher education, their professional career, intellectual creativity as well as socio-political standing and orientation. This is the first time that large region- or country-wide elite clusters are submitted to systematic socio-historical analyses, covering simultaneously all or most markets of activity and self-assertion of educated clusters in a vast international and comparative perspective related to culturally composite societal formations.
Max ERC Funding
771 628 €
Duration
Start date: 2009-01-01, End date: 2012-03-31
Project acronym ENTANGLED BALKANS
Project Balkan Histories: Shared, Connected, Entangled
Researcher (PI) Roumen Daskalov
Host Institution (HI) NEW BULGARIAN UNIVERSITY
Call Details Advanced Grant (AdG), SH6, ERC-2008-AdG
Summary THE OBJECTIVE of this project is to explore the various ways in which the histories of the Balkan peoples were shared, connected and entangled, and in some cases became structurally inter-dependent in the course of the nineteenth and the twentieth centuries; also to explore transfers and crossings within the region and from Western Europe and Russia. What is offered is a provisional open-ended and long-term research program guided by a general paradigm , frame of reference and key concepts. I would rather keep the project open and flexible with regard to substantial issues, though with a clear vision of the general (transnational) perspective. A list of topics includes national and social movements, disputed territories, minorities and refugees, cultural and political transfers. The variegated topics demand expertise in different areas and a trans-disciplinary and inter-disciplinary treatment without regard to established disciplinary boundaries. Systematically applying the transnational and relational perspective to the study of a region as complex as the Balkans has huge cognitive potential and innovative power. The new perspective and cutting-edge methodologies will reveal fresh vistas and bring insights to a number of topics that cannot be restricted in advance. Older research objects will look different and acquire new meanings in the new context and entirely new historical objects will be constituted. The national paradigm of self-contained national histories will be challenged. Such a project may well have wider social and political relevance. There is a positive and integrative value in showing how entangled the histories of the present-day Balkan nations and states were and still are. I would like to imagine such research as promoting good relations rather than fostering divisiveness and separation. This project will also be an input to the European integration of the region, which will hopefully involve the rest of the Balkans in the near future.
Summary
THE OBJECTIVE of this project is to explore the various ways in which the histories of the Balkan peoples were shared, connected and entangled, and in some cases became structurally inter-dependent in the course of the nineteenth and the twentieth centuries; also to explore transfers and crossings within the region and from Western Europe and Russia. What is offered is a provisional open-ended and long-term research program guided by a general paradigm , frame of reference and key concepts. I would rather keep the project open and flexible with regard to substantial issues, though with a clear vision of the general (transnational) perspective. A list of topics includes national and social movements, disputed territories, minorities and refugees, cultural and political transfers. The variegated topics demand expertise in different areas and a trans-disciplinary and inter-disciplinary treatment without regard to established disciplinary boundaries. Systematically applying the transnational and relational perspective to the study of a region as complex as the Balkans has huge cognitive potential and innovative power. The new perspective and cutting-edge methodologies will reveal fresh vistas and bring insights to a number of topics that cannot be restricted in advance. Older research objects will look different and acquire new meanings in the new context and entirely new historical objects will be constituted. The national paradigm of self-contained national histories will be challenged. Such a project may well have wider social and political relevance. There is a positive and integrative value in showing how entangled the histories of the present-day Balkan nations and states were and still are. I would like to imagine such research as promoting good relations rather than fostering divisiveness and separation. This project will also be an input to the European integration of the region, which will hopefully involve the rest of the Balkans in the near future.
Max ERC Funding
1 560 000 €
Duration
Start date: 2009-01-01, End date: 2014-06-30
Project acronym EPIDELAY
Project Delay differential models and transmission dynamics of infectious diseases
Researcher (PI) Gergely Röst
Host Institution (HI) SZEGEDI TUDOMANYEGYETEM
Call Details Starting Grant (StG), PE1, ERC-2010-StG_20091028
Summary The aim of this project is to develop and analyse infinite dimensional dynamical models for the transmission dynamics and propagation of infectious diseases. We use an integrated approach which spans from the abstract theory of functional differential equations to the practical problems of epidemiology, with serious implications to public health policy, prevention, control and mitigation strategies in cases such as the ongoing battle against the nascent H1N1 pandemic.
Delay differential equations are one of the most powerful mathematical modeling tools and they arise naturally in various applications from life sciences to engineering and physics, whenever temporal delays are important. In abstract terms, functional differential equations describe dynamical systems, when their evolution depends on the solution at prior times.
The central theme of this project is to forge strong links between the abstract theory of delay differential equations and practical aspects of epidemiology. Our research will combine competencies in different fields of mathematics and embrace theoretical issues as well as real life applications.
In particular, the theory of equations with state dependent delays is extremely challenging, and this field is at present on the verge of a breakthrough. Developing new theories in this area and connecting them to relevant applications would go far beyond the current research frontier of mathematical epidemiology and could open a new chapter in disease modeling.
Summary
The aim of this project is to develop and analyse infinite dimensional dynamical models for the transmission dynamics and propagation of infectious diseases. We use an integrated approach which spans from the abstract theory of functional differential equations to the practical problems of epidemiology, with serious implications to public health policy, prevention, control and mitigation strategies in cases such as the ongoing battle against the nascent H1N1 pandemic.
Delay differential equations are one of the most powerful mathematical modeling tools and they arise naturally in various applications from life sciences to engineering and physics, whenever temporal delays are important. In abstract terms, functional differential equations describe dynamical systems, when their evolution depends on the solution at prior times.
The central theme of this project is to forge strong links between the abstract theory of delay differential equations and practical aspects of epidemiology. Our research will combine competencies in different fields of mathematics and embrace theoretical issues as well as real life applications.
In particular, the theory of equations with state dependent delays is extremely challenging, and this field is at present on the verge of a breakthrough. Developing new theories in this area and connecting them to relevant applications would go far beyond the current research frontier of mathematical epidemiology and could open a new chapter in disease modeling.
Max ERC Funding
796 800 €
Duration
Start date: 2011-05-01, End date: 2016-12-31
Project acronym FRONTHAL
Project Specificity of cortico-thalamic interactions and its role in frontal cortical functions
Researcher (PI) Laszlo ACSADY
Host Institution (HI) INSTITUTE OF EXPERIMENTAL MEDICINE - HUNGARIAN ACADEMY OF SCIENCES
Call Details Advanced Grant (AdG), LS5, ERC-2016-ADG
Summary Frontal cortical areas are responsible for a wide range of executive and cognitive functions. Frontal cortices communicate with the thalamus via bidirectional pathways and these connections are indispensable for frontal cortical operations. Still, we have very little information about the specificity of connections, synaptic interactions and plasticity between frontal cortex and thalamus and the roles of these interactions in frontal cortical functions.
In the present proposal, we will test the hypothesis that frontal cortical areas developed a highly specialized connectivity pattern with the thalamus. This supports unique interactions between the cortex and the thalamus according to the specific requirements of frontal cortical activity, including experience-dependent plastic changes.
The project will use cell type-specific viral tracing in mice and 3D electron microscopic reconstructions in mice and humans to identify circuit motifs that are evolutionarily conserved, yet, still specific to fronto-thalamic pathways. The physiological approach will employ in vivo optogenetics combined with intra-, juxta- and extracellular recordings. We will perform behavioral experiments by bidirectional modulation of well-defined elements in the network, in learning paradigms, which depend on the integrity of frontal cortex.
The project is the first systematic approach which aims to understand the nature of interaction between the frontal cortex and the thalamus. It will not only fill the tremendous gap in our knowledge regarding these pathways but will help us elucidate the functional organization of non-sensory thalamus in general.
Frontal cortices are involved in a wide range of major neurological disorders (e.g. Parkinson’s disease, epilepsy, schizophrenia, chronic pain) which affect executive functions and involve fronto-thalamic pathways. We believe that understanding fronto-thalamic interactions will lead to fundamentally novel insight into the nature of these diseases.
Summary
Frontal cortical areas are responsible for a wide range of executive and cognitive functions. Frontal cortices communicate with the thalamus via bidirectional pathways and these connections are indispensable for frontal cortical operations. Still, we have very little information about the specificity of connections, synaptic interactions and plasticity between frontal cortex and thalamus and the roles of these interactions in frontal cortical functions.
In the present proposal, we will test the hypothesis that frontal cortical areas developed a highly specialized connectivity pattern with the thalamus. This supports unique interactions between the cortex and the thalamus according to the specific requirements of frontal cortical activity, including experience-dependent plastic changes.
The project will use cell type-specific viral tracing in mice and 3D electron microscopic reconstructions in mice and humans to identify circuit motifs that are evolutionarily conserved, yet, still specific to fronto-thalamic pathways. The physiological approach will employ in vivo optogenetics combined with intra-, juxta- and extracellular recordings. We will perform behavioral experiments by bidirectional modulation of well-defined elements in the network, in learning paradigms, which depend on the integrity of frontal cortex.
The project is the first systematic approach which aims to understand the nature of interaction between the frontal cortex and the thalamus. It will not only fill the tremendous gap in our knowledge regarding these pathways but will help us elucidate the functional organization of non-sensory thalamus in general.
Frontal cortices are involved in a wide range of major neurological disorders (e.g. Parkinson’s disease, epilepsy, schizophrenia, chronic pain) which affect executive functions and involve fronto-thalamic pathways. We believe that understanding fronto-thalamic interactions will lead to fundamentally novel insight into the nature of these diseases.
Max ERC Funding
1 597 575 €
Duration
Start date: 2017-09-01, End date: 2022-08-31
Project acronym FunctionalProteomics
Project Proteomic fingerprinting of functionally characterized single synapses
Researcher (PI) Zoltan NUSSER
Host Institution (HI) INSTITUTE OF EXPERIMENTAL MEDICINE - HUNGARIAN ACADEMY OF SCIENCES
Call Details Advanced Grant (AdG), LS5, ERC-2017-ADG
Summary Our astonishing cognitive abilities are the consequence of complex connectivity within our neuronal networks and the large functional diversity of excitable nerve cells and their synapses. Investigations over the past half a century revealed dramatic diversity in shape, size and functional properties among synapses established by distinct cell types in different brain regions and demonstrated that the functional differences are partly due to different molecular mechanisms. However, synaptic diversity is also observed among synapses established by molecularly and morphologically uniform presynaptic cells on molecularly and morphologically uniform postsynaptic cells. Our hypothesis is that quantitative molecular differences underlie the functional diversity of such synapses. We will focus on hippocampal CA1 pyramidal cell (PC) to mGluR1α+ O-LM cell synapses, which show remarkable functional and molecular heterogeneity. In vitro multiple cell patch-clamp recordings followed by quantal analysis will be performed to quantify well-defined biophysical properties of these synapses. The molecular composition of the functionally characterized single synapses will be determined following the development of a novel postembedding immunolocalization method. Correlations between the molecular content and functional properties will be established and genetic up- and downregulation of individual synaptic proteins will be conducted to reveal causal relationships. Finally, correlations of the activity history and the functional properties of the synapses will be established by performing in vivo two-photon Ca2+ imaging in head-fixed behaving animals followed by in vitro functional characterization of their synapses. Our results will reveal quantitative molecular fingerprints of functional properties, allowing us to render dynamic behaviour to billions of synapses when the connectome of the hippocampal circuit is created using array tomography.
Summary
Our astonishing cognitive abilities are the consequence of complex connectivity within our neuronal networks and the large functional diversity of excitable nerve cells and their synapses. Investigations over the past half a century revealed dramatic diversity in shape, size and functional properties among synapses established by distinct cell types in different brain regions and demonstrated that the functional differences are partly due to different molecular mechanisms. However, synaptic diversity is also observed among synapses established by molecularly and morphologically uniform presynaptic cells on molecularly and morphologically uniform postsynaptic cells. Our hypothesis is that quantitative molecular differences underlie the functional diversity of such synapses. We will focus on hippocampal CA1 pyramidal cell (PC) to mGluR1α+ O-LM cell synapses, which show remarkable functional and molecular heterogeneity. In vitro multiple cell patch-clamp recordings followed by quantal analysis will be performed to quantify well-defined biophysical properties of these synapses. The molecular composition of the functionally characterized single synapses will be determined following the development of a novel postembedding immunolocalization method. Correlations between the molecular content and functional properties will be established and genetic up- and downregulation of individual synaptic proteins will be conducted to reveal causal relationships. Finally, correlations of the activity history and the functional properties of the synapses will be established by performing in vivo two-photon Ca2+ imaging in head-fixed behaving animals followed by in vitro functional characterization of their synapses. Our results will reveal quantitative molecular fingerprints of functional properties, allowing us to render dynamic behaviour to billions of synapses when the connectome of the hippocampal circuit is created using array tomography.
Max ERC Funding
2 498 750 €
Duration
Start date: 2018-10-01, End date: 2023-09-30
Project acronym GalNUC
Project Astrophysical Dynamics and Statistical Physics of Galactic Nuclei
Researcher (PI) Bence Kocsis
Host Institution (HI) EOTVOS LORAND TUDOMANYEGYETEM
Call Details Starting Grant (StG), PE9, ERC-2014-STG
Summary We address some of the major unsolved questions of galactic nuclei using methods of condensed matter physics. Galactic nuclei host a central supermassive black hole, a dense population of stars and compact objects, and in many cases a bright gaseous disk feeding the supermassive black hole. The observed stellar distribution exhibits both spherical and counterrotating disk-like structures. Existing theoretical models cannot convincingly explain the origin of the stellar disks. Is there also a “dark cusp” or “dark disk” of stellar mass black holes? Are there intermediate mass black holes in the Galactic center? We examine the statistical physics of galactic nuclei and their long term dynamical evolution. A star orbiting a supermassive black hole on an eccentric precessing orbit covers an axisymmetric annulus. The long-term gravitational interaction between such annuli is similar to the Coulomb interaction between axisymmetric molecules constituting a liquid crystal. We apply standard methods of condensed matter physics to examine these astrophysical systems. The observed disk and spherical structures represent isotropic-nematic phase transitions. We derive the phase space distribution and time-evolution of different stellar components including a population of black holes. Further, we investigate the interaction of a stellar cluster with a gaseous disk, if present. This leads to the formation of gaps, warps, and spiral waves in the disk, the redistribution of stellar objects, and possibly the formation of intermediate mass black holes. We explore the implications for electromagnetic and gravitational wave observatories. Dark disks of black holes could provide the most frequent source of gravitational waves for LIGO and VIRGO. These detectors will open a new window on the Universe; the proposed project will open a new field in gravitational wave astrophysics to interpret the sources. We also explore implications for electromagnetic observations.
Summary
We address some of the major unsolved questions of galactic nuclei using methods of condensed matter physics. Galactic nuclei host a central supermassive black hole, a dense population of stars and compact objects, and in many cases a bright gaseous disk feeding the supermassive black hole. The observed stellar distribution exhibits both spherical and counterrotating disk-like structures. Existing theoretical models cannot convincingly explain the origin of the stellar disks. Is there also a “dark cusp” or “dark disk” of stellar mass black holes? Are there intermediate mass black holes in the Galactic center? We examine the statistical physics of galactic nuclei and their long term dynamical evolution. A star orbiting a supermassive black hole on an eccentric precessing orbit covers an axisymmetric annulus. The long-term gravitational interaction between such annuli is similar to the Coulomb interaction between axisymmetric molecules constituting a liquid crystal. We apply standard methods of condensed matter physics to examine these astrophysical systems. The observed disk and spherical structures represent isotropic-nematic phase transitions. We derive the phase space distribution and time-evolution of different stellar components including a population of black holes. Further, we investigate the interaction of a stellar cluster with a gaseous disk, if present. This leads to the formation of gaps, warps, and spiral waves in the disk, the redistribution of stellar objects, and possibly the formation of intermediate mass black holes. We explore the implications for electromagnetic and gravitational wave observatories. Dark disks of black holes could provide the most frequent source of gravitational waves for LIGO and VIRGO. These detectors will open a new window on the Universe; the proposed project will open a new field in gravitational wave astrophysics to interpret the sources. We also explore implications for electromagnetic observations.
Max ERC Funding
1 511 436 €
Duration
Start date: 2015-08-01, End date: 2020-07-31
Project acronym GROGandGIN
Project Growth in Groups and Graph Isomorphism Now
Researcher (PI) Laszlo Pyber
Host Institution (HI) MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Call Details Advanced Grant (AdG), PE1, ERC-2016-ADG
Summary "In recent years there has been spectacular progress in studying growth in groups. A central result in this new area, obtained by Pyber-Szabo' (with a similar result proved by Breuillard-Green-Tao), shows that powers of generating subsets of finite simple groups of ""bounded dimension"" grow fast. Extending this Product Theorem Szabo' and the PI also proved a weaker version of a conjecture of Helfgott-Lindenstrauss. The Product Theorem has deep consequences in the study of groups, number theory and random walks. A central open question of the area is to remove the dependence on dimension in our Product Theorem. The PI formulated a new Conjecture, as a step forward. The way to further progress is via combining techniques from asymptotic group theory and probability theory. It is from this perspective that the current GROGandGIN proposal addresses issues concerning random walks. We examine how recent probabilistic arguments for random walks in the symmetric group may be transferred to matrix groups. While the first results in the subject of growth concern matrix groups we see an evolving theory of growth in permutation groups. This relies on earlier work of Babai and the PI which aims at finding proofs which do not use the Classification of Finite Simple Groups (CFSG). Similarly, Babai's famous Quasipolynomial Graph Isomorphism Algorithm builds on ideas from CFSG-free proofs due to him. The PI has recently removed CFSG from the analysis of Babai's algorithm. Our method goes ""halfway"" towards removing CFSG from proofs of growth results for permutation groups, currently a major open problem. The GROGandGIN initiative plans to improve various other parts of Babai's paper, working with several people who look at it from different angles, with an eye towards obtaining a Polynomial Graph Isomorphism algorithm. The GROGandGIN team will also study growth in Lie groups since the theory of random walks in Lie groups has been revitalised using analogues of our Product Theorem."
Summary
"In recent years there has been spectacular progress in studying growth in groups. A central result in this new area, obtained by Pyber-Szabo' (with a similar result proved by Breuillard-Green-Tao), shows that powers of generating subsets of finite simple groups of ""bounded dimension"" grow fast. Extending this Product Theorem Szabo' and the PI also proved a weaker version of a conjecture of Helfgott-Lindenstrauss. The Product Theorem has deep consequences in the study of groups, number theory and random walks. A central open question of the area is to remove the dependence on dimension in our Product Theorem. The PI formulated a new Conjecture, as a step forward. The way to further progress is via combining techniques from asymptotic group theory and probability theory. It is from this perspective that the current GROGandGIN proposal addresses issues concerning random walks. We examine how recent probabilistic arguments for random walks in the symmetric group may be transferred to matrix groups. While the first results in the subject of growth concern matrix groups we see an evolving theory of growth in permutation groups. This relies on earlier work of Babai and the PI which aims at finding proofs which do not use the Classification of Finite Simple Groups (CFSG). Similarly, Babai's famous Quasipolynomial Graph Isomorphism Algorithm builds on ideas from CFSG-free proofs due to him. The PI has recently removed CFSG from the analysis of Babai's algorithm. Our method goes ""halfway"" towards removing CFSG from proofs of growth results for permutation groups, currently a major open problem. The GROGandGIN initiative plans to improve various other parts of Babai's paper, working with several people who look at it from different angles, with an eye towards obtaining a Polynomial Graph Isomorphism algorithm. The GROGandGIN team will also study growth in Lie groups since the theory of random walks in Lie groups has been revitalised using analogues of our Product Theorem."
Max ERC Funding
1 965 340 €
Duration
Start date: 2017-08-01, End date: 2022-07-31
Project acronym HIGHACCTC
Project High-accuracy models in theoretical chemistry
Researcher (PI) Mihály Kállay
Host Institution (HI) BUDAPESTI MUSZAKI ES GAZDASAGTUDOMANYI EGYETEM
Call Details Starting Grant (StG), PE4, ERC-2007-StG
Summary Even today, quantum chemical calculations with experimental accuracy are only feasible for small molecules. This statement is especially true if the considered molecule is far from the equilibrium structure, where the overwhelming majority of quantum chemical models break down. The main purpose of this proposal is to develop new quantum chemical methods that are applicable to at least medium-sized molecules and simultaneously provide results sufficiently close to the experimental data and are capable of describing entire potential energy surfaces. The accuracy goal will be achieved through the reduction of the computational cost of high-precision quantum chemical calculations, which are currently practical for molecules of up to 15 atoms. The cost reduction will be accomplished principally by decreasing the number of numerical parameters to be optimized without sacrificing accuracy. To this end, the negligible parameters will be identified and dropped by adopting the corresponding techniques of computer science. The correct behavior of the models for distorted structures will be ensured by developing new approaches that use a linear combination of functions rather than a single function as a starting point for the description of electronic states. Since the programming work associated with the implementation of the proposed schemes is very complex, the project will rely on the automated programming tools previously developed by the proposer. In addition to the outlined challenging tasks, the proposal aims to implement several more straightforward objectives. In particular, the high-accuracy calculations will be extended to molecular properties that are presently not available. Furthermore, the developed methods will be applied to real-life problems, especially in the field of spectroscopy and atmospheric chemistry.
Summary
Even today, quantum chemical calculations with experimental accuracy are only feasible for small molecules. This statement is especially true if the considered molecule is far from the equilibrium structure, where the overwhelming majority of quantum chemical models break down. The main purpose of this proposal is to develop new quantum chemical methods that are applicable to at least medium-sized molecules and simultaneously provide results sufficiently close to the experimental data and are capable of describing entire potential energy surfaces. The accuracy goal will be achieved through the reduction of the computational cost of high-precision quantum chemical calculations, which are currently practical for molecules of up to 15 atoms. The cost reduction will be accomplished principally by decreasing the number of numerical parameters to be optimized without sacrificing accuracy. To this end, the negligible parameters will be identified and dropped by adopting the corresponding techniques of computer science. The correct behavior of the models for distorted structures will be ensured by developing new approaches that use a linear combination of functions rather than a single function as a starting point for the description of electronic states. Since the programming work associated with the implementation of the proposed schemes is very complex, the project will rely on the automated programming tools previously developed by the proposer. In addition to the outlined challenging tasks, the proposal aims to implement several more straightforward objectives. In particular, the high-accuracy calculations will be extended to molecular properties that are presently not available. Furthermore, the developed methods will be applied to real-life problems, especially in the field of spectroscopy and atmospheric chemistry.
Max ERC Funding
500 000 €
Duration
Start date: 2008-07-01, End date: 2013-06-30
Project acronym HybridSolarFuels
Project Efficient Photoelectrochemical Transformation of CO2 to Useful Fuels on Nanostructured Hybrid Electrodes
Researcher (PI) Csaba JANAKY
Host Institution (HI) Szegedi Tudomanyegyetem - Hungarian-Netherlands School of Educational Management
Call Details Starting Grant (StG), PE4, ERC-2016-STG
Summary Given that CO2 is a greenhouse gas, using the energy of sunlight to convert CO2 to transportation fuels (such as methanol) represents a value-added approach to the simultaneous generation of alternative fuels and environmental remediation of carbon emissions. Photoelectrochemistry has been proven to be a useful avenue for solar water splitting. CO2 reduction, however, is multi-electron in nature (e.g., 6 e- to methanol) with considerable kinetic barriers to electron transfer. It therefore requires the use of carefully designed electrode surfaces to accelerate e- transfer rates to levels that make practical sense. In addition, novel flow-cell configurations have to be designed to overcome mass transport limitations of this reaction.
We are going to design and assemble nanostructured hybrid materials to be simultaneously applied as both adsorber and cathode-material to photoelectrochemically convert CO2 to valuable liquid fuels. The three main goals of this project are to (i) gain fundamental understanding of morphological-, size-, and surface functional group effects on the photoelectrochemical (PEC) behavior at the nanoscale (ii) design and synthesize new functional hybrid materials for PEC CO2 reduction, (iii) develop flow-reactors for PEC CO2 reduction. Rationally designed hybrid nanostructures of large surface area p-type semiconductors (e.g., SiC, CuMO2, or CuPbI3) and N-containing conducting polymers (e.g., polyaniline-based custom designed polymers) will be responsible for: (i) higher photocurrents due to facile charge transfer and better light absorption (ii) higher selectivity towards the formation of liquid fuels due to the adsorption of CO2 on the photocathode (iii) better stability of the photocathode. The challenges are great, but the possible rewards are enormous: performing CO2 adsorption and reduction on the same system may lead to PEC cells which can be deployed directly at the source point of CO2, which would go well beyond the state-of-the-art.
Summary
Given that CO2 is a greenhouse gas, using the energy of sunlight to convert CO2 to transportation fuels (such as methanol) represents a value-added approach to the simultaneous generation of alternative fuels and environmental remediation of carbon emissions. Photoelectrochemistry has been proven to be a useful avenue for solar water splitting. CO2 reduction, however, is multi-electron in nature (e.g., 6 e- to methanol) with considerable kinetic barriers to electron transfer. It therefore requires the use of carefully designed electrode surfaces to accelerate e- transfer rates to levels that make practical sense. In addition, novel flow-cell configurations have to be designed to overcome mass transport limitations of this reaction.
We are going to design and assemble nanostructured hybrid materials to be simultaneously applied as both adsorber and cathode-material to photoelectrochemically convert CO2 to valuable liquid fuels. The three main goals of this project are to (i) gain fundamental understanding of morphological-, size-, and surface functional group effects on the photoelectrochemical (PEC) behavior at the nanoscale (ii) design and synthesize new functional hybrid materials for PEC CO2 reduction, (iii) develop flow-reactors for PEC CO2 reduction. Rationally designed hybrid nanostructures of large surface area p-type semiconductors (e.g., SiC, CuMO2, or CuPbI3) and N-containing conducting polymers (e.g., polyaniline-based custom designed polymers) will be responsible for: (i) higher photocurrents due to facile charge transfer and better light absorption (ii) higher selectivity towards the formation of liquid fuels due to the adsorption of CO2 on the photocathode (iii) better stability of the photocathode. The challenges are great, but the possible rewards are enormous: performing CO2 adsorption and reduction on the same system may lead to PEC cells which can be deployed directly at the source point of CO2, which would go well beyond the state-of-the-art.
Max ERC Funding
1 498 750 €
Duration
Start date: 2017-01-01, End date: 2021-12-31
Project acronym INTERIMPACT
Project Impact of identified interneurons on cellular network mechanisms in the human and rodent neocortex
Researcher (PI) Gábor Tamás
Host Institution (HI) Szegedi Tudomanyegyetem - Hungarian-Netherlands School of Educational Management
Call Details Advanced Grant (AdG), LS5, ERC-2010-AdG_20100317
Summary This application addresses mechanisms linking the activity of single neurons with network events by defining the function of identified cell types in the cerebral cortex. The key hypotheses emerged from our experiments and propose that neurogliaform cells and axo-axonic cells achieve their function in the cortex through extreme forms of unspecificity and specificity, respectively. The project capitalizes on our discovery that neurogliaform cells reach GABAA and GABAB receptors on target cells through unitary volume transmission going beyond the classical theory which states that single cortical neurons act in or around synaptic junctions. We propose that the spatial unspecificity of neurotransmitter action leads to unprecedented functional capabilities for a single neuron simultaneously acting on neuronal, glial and vascular components of the surrounding area allowing neurogliaform cells to synchronize metabolic demand and supply in microcircuits. In contrast, axo-axonic cells represent extreme spatial specificity in the brain: terminals of axo-axonic cells exclusively target the axon initial segment of pyramidal neurons. Axo-axonic cells were considered as the most potent inhibitory neurons of the cortex. However, our experiments suggested that axo-axonic cells can be the most powerful excitatory neurons known to date by triggering complex network events. Our unprecedented recordings in the human cortex show that axo-axonic cells are crucial in activating functional assemblies which were implicated in higher order cognitive representations. We aim to define interactions between active cortical networks and axo-axonic cell triggered assemblies with an emphasis on mechanisms modulated by neurogliaform cells and commonly prescribed drugs.
Summary
This application addresses mechanisms linking the activity of single neurons with network events by defining the function of identified cell types in the cerebral cortex. The key hypotheses emerged from our experiments and propose that neurogliaform cells and axo-axonic cells achieve their function in the cortex through extreme forms of unspecificity and specificity, respectively. The project capitalizes on our discovery that neurogliaform cells reach GABAA and GABAB receptors on target cells through unitary volume transmission going beyond the classical theory which states that single cortical neurons act in or around synaptic junctions. We propose that the spatial unspecificity of neurotransmitter action leads to unprecedented functional capabilities for a single neuron simultaneously acting on neuronal, glial and vascular components of the surrounding area allowing neurogliaform cells to synchronize metabolic demand and supply in microcircuits. In contrast, axo-axonic cells represent extreme spatial specificity in the brain: terminals of axo-axonic cells exclusively target the axon initial segment of pyramidal neurons. Axo-axonic cells were considered as the most potent inhibitory neurons of the cortex. However, our experiments suggested that axo-axonic cells can be the most powerful excitatory neurons known to date by triggering complex network events. Our unprecedented recordings in the human cortex show that axo-axonic cells are crucial in activating functional assemblies which were implicated in higher order cognitive representations. We aim to define interactions between active cortical networks and axo-axonic cell triggered assemblies with an emphasis on mechanisms modulated by neurogliaform cells and commonly prescribed drugs.
Max ERC Funding
2 391 695 €
Duration
Start date: 2011-06-01, End date: 2017-05-31
