Project acronym ADORA
Project Asymptotic approach to spatial and dynamical organizations
Researcher (PI) Benoit PERTHAME
Host Institution (HI) SORBONNE UNIVERSITE
Call Details Advanced Grant (AdG), PE1, ERC-2016-ADG
Summary The understanding of spatial, social and dynamical organization of large numbers of agents is presently a fundamental issue in modern science. ADORA focuses on problems motivated by biology because, more than anywhere else, access to precise and many data has opened the route to novel and complex biomathematical models. The problems we address are written in terms of nonlinear partial differential equations. The flux-limited Keller-Segel system, the integrate-and-fire Fokker-Planck equation, kinetic equations with internal state, nonlocal parabolic equations and constrained Hamilton-Jacobi equations are among examples of the equations under investigation.
The role of mathematics is not only to understand the analytical structure of these new problems, but it is also to explain the qualitative behavior of solutions and to quantify their properties. The challenge arises here because these goals should be achieved through a hierarchy of scales. Indeed, the problems under consideration share the common feature that the large scale behavior cannot be understood precisely without access to a hierarchy of finer scales, down to the individual behavior and sometimes its molecular determinants.
Major difficulties arise because the numerous scales present in these equations have to be discovered and singularities appear in the asymptotic process which yields deep compactness obstructions. Our vision is that the complexity inherent to models of biology can be enlightened by mathematical analysis and a classification of the possible asymptotic regimes.
However an enormous effort is needed to uncover the equations intimate mathematical structures, and bring them at the level of conceptual understanding they deserve being given the applications motivating these questions which range from medical science or neuroscience to cell biology.
Summary
The understanding of spatial, social and dynamical organization of large numbers of agents is presently a fundamental issue in modern science. ADORA focuses on problems motivated by biology because, more than anywhere else, access to precise and many data has opened the route to novel and complex biomathematical models. The problems we address are written in terms of nonlinear partial differential equations. The flux-limited Keller-Segel system, the integrate-and-fire Fokker-Planck equation, kinetic equations with internal state, nonlocal parabolic equations and constrained Hamilton-Jacobi equations are among examples of the equations under investigation.
The role of mathematics is not only to understand the analytical structure of these new problems, but it is also to explain the qualitative behavior of solutions and to quantify their properties. The challenge arises here because these goals should be achieved through a hierarchy of scales. Indeed, the problems under consideration share the common feature that the large scale behavior cannot be understood precisely without access to a hierarchy of finer scales, down to the individual behavior and sometimes its molecular determinants.
Major difficulties arise because the numerous scales present in these equations have to be discovered and singularities appear in the asymptotic process which yields deep compactness obstructions. Our vision is that the complexity inherent to models of biology can be enlightened by mathematical analysis and a classification of the possible asymptotic regimes.
However an enormous effort is needed to uncover the equations intimate mathematical structures, and bring them at the level of conceptual understanding they deserve being given the applications motivating these questions which range from medical science or neuroscience to cell biology.
Max ERC Funding
2 192 500 €
Duration
Start date: 2017-09-01, End date: 2022-08-31
Project acronym ADOS
Project AMPA Receptor Dynamic Organization and Synaptic transmission in health and disease
Researcher (PI) Daniel Georges Gustave Choquet
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Advanced Grant (AdG), LS5, ERC-2013-ADG
Summary AMPA glutamate receptors (AMPAR) play key roles in information processing by the brain as they mediate nearly all fast excitatory synaptic transmission. Their spatio-temporal organization in the post synapse with respect to presynaptic glutamate release sites is a key determinant in synaptic transmission. The activity-dependent regulation of AMPAR organization is at the heart of synaptic plasticity processes underlying learning and memory. Dysfunction of synaptic transmission - hence AMPAR organization - is likely at the origin of a number of brain diseases.
Building on discoveries made during my past ERC grant, our new ground-breaking objective is to uncover the mechanisms that link synaptic transmission with the dynamic organization of AMPAR and associated proteins. For this aim, we have assembled a team of neurobiologists, computer scientists and chemists with a track record of collaboration. We will combine physiology, cellular and molecular neurobiology with development of novel quantitative imaging and biomolecular tools to probe the molecular dynamics that regulate synaptic transmission.
Live high content 3D SuperResolution Light Imaging (SRLI) combined with electron microscopy will allow unprecedented visualization of AMPAR organization in synapses at the scale of individual subunits up to the level of intact tissue. Simultaneous SRLI and electrophysiology will elucidate the intricate relations between dynamic AMPAR organization, trafficking and synaptic transmission. Novel peptide- and small protein-based probes used as protein-protein interaction reporters and modulators will be developed to image and directly interfere with synapse organization.
We will identify new processes that are fundamental to activity dependent modifications of synaptic transmission. We will apply the above findings to understand the causes of early cognitive deficits in models of neurodegenerative disorders and open new avenues of research for innovative therapies.
Summary
AMPA glutamate receptors (AMPAR) play key roles in information processing by the brain as they mediate nearly all fast excitatory synaptic transmission. Their spatio-temporal organization in the post synapse with respect to presynaptic glutamate release sites is a key determinant in synaptic transmission. The activity-dependent regulation of AMPAR organization is at the heart of synaptic plasticity processes underlying learning and memory. Dysfunction of synaptic transmission - hence AMPAR organization - is likely at the origin of a number of brain diseases.
Building on discoveries made during my past ERC grant, our new ground-breaking objective is to uncover the mechanisms that link synaptic transmission with the dynamic organization of AMPAR and associated proteins. For this aim, we have assembled a team of neurobiologists, computer scientists and chemists with a track record of collaboration. We will combine physiology, cellular and molecular neurobiology with development of novel quantitative imaging and biomolecular tools to probe the molecular dynamics that regulate synaptic transmission.
Live high content 3D SuperResolution Light Imaging (SRLI) combined with electron microscopy will allow unprecedented visualization of AMPAR organization in synapses at the scale of individual subunits up to the level of intact tissue. Simultaneous SRLI and electrophysiology will elucidate the intricate relations between dynamic AMPAR organization, trafficking and synaptic transmission. Novel peptide- and small protein-based probes used as protein-protein interaction reporters and modulators will be developed to image and directly interfere with synapse organization.
We will identify new processes that are fundamental to activity dependent modifications of synaptic transmission. We will apply the above findings to understand the causes of early cognitive deficits in models of neurodegenerative disorders and open new avenues of research for innovative therapies.
Max ERC Funding
2 491 157 €
Duration
Start date: 2014-02-01, End date: 2019-01-31
Project acronym ADREEM
Project Adding Another Dimension – Arrays of 3D Bio-Responsive Materials
Researcher (PI) Mark Bradley
Host Institution (HI) THE UNIVERSITY OF EDINBURGH
Call Details Advanced Grant (AdG), LS9, ERC-2013-ADG
Summary This proposal is focused in the areas of chemical medicine and chemical biology with the key drivers being the discovery and development of new materials that have practical functionality and application. The project will enable the fabrication of thousands of three-dimensional “smart-polymers” that will allow: (i). The precise and controlled release of drugs upon the addition of either a small molecule trigger or in response to disease, (ii). The discovery of materials that control and manipulate cells with the identification of scaffolds that provide the necessary biochemical cues for directing cell fate and drive tissue regeneration and (iii). The development of new classes of “smart-polymers” able, in real-time, to sense and report bacterial contamination. The newly discovered materials will find multiple biomedical applications in regenerative medicine and biotechnology ranging from 3D cell culture, bone repair and niche stabilisation to bacterial sensing/removal, while offering a new paradigm in drug delivery with biomarker triggered drug release.
Summary
This proposal is focused in the areas of chemical medicine and chemical biology with the key drivers being the discovery and development of new materials that have practical functionality and application. The project will enable the fabrication of thousands of three-dimensional “smart-polymers” that will allow: (i). The precise and controlled release of drugs upon the addition of either a small molecule trigger or in response to disease, (ii). The discovery of materials that control and manipulate cells with the identification of scaffolds that provide the necessary biochemical cues for directing cell fate and drive tissue regeneration and (iii). The development of new classes of “smart-polymers” able, in real-time, to sense and report bacterial contamination. The newly discovered materials will find multiple biomedical applications in regenerative medicine and biotechnology ranging from 3D cell culture, bone repair and niche stabilisation to bacterial sensing/removal, while offering a new paradigm in drug delivery with biomarker triggered drug release.
Max ERC Funding
2 310 884 €
Duration
Start date: 2014-11-01, End date: 2019-10-31
Project acronym AdS-CFT-solvable
Project Origins of integrability in AdS/CFT correspondence
Researcher (PI) Vladimir Kazakov
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Advanced Grant (AdG), PE2, ERC-2012-ADG_20120216
Summary Fundamental interactions in nature are well described by quantum gauge fields in 4 space-time dimensions (4d). When the strength of gauge interaction is weak the Feynman perturbation techniques are very efficient for the description of most of the experimentally observable consequences of the Standard model and for the study of high energy processes in QCD.
But in the intermediate and strong coupling regime, such as the relatively small energies in QCD, the perturbation theory fails leaving us with no reliable analytic methods (except the Monte-Carlo simulation). The project aims at working out new analytic and computational methods for strongly coupled gauge theories in 4d. We will employ for that two important discoveries: 1) the gauge-string duality (AdS/CFT correspondence) relating certain strongly coupled gauge Conformal Field
Theories to the weakly coupled string theories on Anty-deSitter space; 2) the solvability, or integrability of maximally supersymmetric (N=4) 4d super Yang-Mills (SYM) theory in multicolor limit. Integrability made possible pioneering exact numerical and analytic results in the N=4 multicolor SYM at any coupling, effectively summing up all 4d Feynman diagrams. Recently, we conjectured a system of functional equations - the AdS/CFT Y-system – for the exact spectrum of anomalous dimensions of all local operators in N=4 SYM. The conjecture has passed all available checks. My project is aimed at the understanding of origins of this, still mysterious integrability. Deriving the AdS/CFT Y-system from the first principles on both sides of gauge-string duality should provide a long-awaited proof of the AdS/CFT correspondence itself. I plan to use the Y-system to study the systematic weak and strong coupling expansions and the so called BFKL limit, as well as for calculation of multi-point correlation functions of N=4 SYM. We hope on new insights into the strong coupling dynamics of less supersymmetric gauge theories and of QCD.
Summary
Fundamental interactions in nature are well described by quantum gauge fields in 4 space-time dimensions (4d). When the strength of gauge interaction is weak the Feynman perturbation techniques are very efficient for the description of most of the experimentally observable consequences of the Standard model and for the study of high energy processes in QCD.
But in the intermediate and strong coupling regime, such as the relatively small energies in QCD, the perturbation theory fails leaving us with no reliable analytic methods (except the Monte-Carlo simulation). The project aims at working out new analytic and computational methods for strongly coupled gauge theories in 4d. We will employ for that two important discoveries: 1) the gauge-string duality (AdS/CFT correspondence) relating certain strongly coupled gauge Conformal Field
Theories to the weakly coupled string theories on Anty-deSitter space; 2) the solvability, or integrability of maximally supersymmetric (N=4) 4d super Yang-Mills (SYM) theory in multicolor limit. Integrability made possible pioneering exact numerical and analytic results in the N=4 multicolor SYM at any coupling, effectively summing up all 4d Feynman diagrams. Recently, we conjectured a system of functional equations - the AdS/CFT Y-system – for the exact spectrum of anomalous dimensions of all local operators in N=4 SYM. The conjecture has passed all available checks. My project is aimed at the understanding of origins of this, still mysterious integrability. Deriving the AdS/CFT Y-system from the first principles on both sides of gauge-string duality should provide a long-awaited proof of the AdS/CFT correspondence itself. I plan to use the Y-system to study the systematic weak and strong coupling expansions and the so called BFKL limit, as well as for calculation of multi-point correlation functions of N=4 SYM. We hope on new insights into the strong coupling dynamics of less supersymmetric gauge theories and of QCD.
Max ERC Funding
1 456 140 €
Duration
Start date: 2013-11-01, End date: 2018-10-31
Project acronym ADSNeSP
Project Active and Driven Systems: Nonequilibrium Statistical Physics
Researcher (PI) Michael Elmhirst CATES
Host Institution (HI) THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE
Call Details Advanced Grant (AdG), PE3, ERC-2016-ADG
Summary Active Matter systems, such as self-propelled colloids, violate time-reversal symmetry by producing entropy locally, typically converting fuel into mechanical motion at the particle scale. Other driven systems instead produce entropy because of global forcing by external fields, or boundary conditions that impose macroscopic fluxes (such as the momentum flux across a fluid sheared between moving parallel walls).
Nonequilibrium statistical physics (NeSP) is the basic toolbox for both classes of system. In recent years, much progress in NeSP has stemmed from bottom-up work on driven systems. This has provided a number of exactly solved benchmark models, and extended approximation techniques to address driven non-ergodic systems, such as sheared glasses. Meanwhile, work on fluctuation theorems and stochastic thermodynamics have created profound, model-independent insights into dynamics far from equilibrium.
More recently, the field of Active Matter has moved forward rapidly, leaving in its wake a series of generic and profound NeSP questions that now need answers: When is time-reversal symmetry, broken at the microscale, restored by coarse-graining? If it is restored, is an effective thermodynamic description is possible? How different is an active system's behaviour from a globally forced one?
ADSNeSP aims to distil from recent Active Matter research such fundamental questions; answer them first in the context of specific models and second in more general terms; and then, using the tools and insights gained, shed new light on longstanding problems in the wider class of driven systems.
I believe these new tools and insights will be substantial, because local activity takes systems far from equilibrium in a conceptually distinct direction from most types of global driving. By focusing on general principles and on simple models of activity, I seek to create a new vantage point that can inform, and potentially transform, wider areas of statistical physics.
Summary
Active Matter systems, such as self-propelled colloids, violate time-reversal symmetry by producing entropy locally, typically converting fuel into mechanical motion at the particle scale. Other driven systems instead produce entropy because of global forcing by external fields, or boundary conditions that impose macroscopic fluxes (such as the momentum flux across a fluid sheared between moving parallel walls).
Nonequilibrium statistical physics (NeSP) is the basic toolbox for both classes of system. In recent years, much progress in NeSP has stemmed from bottom-up work on driven systems. This has provided a number of exactly solved benchmark models, and extended approximation techniques to address driven non-ergodic systems, such as sheared glasses. Meanwhile, work on fluctuation theorems and stochastic thermodynamics have created profound, model-independent insights into dynamics far from equilibrium.
More recently, the field of Active Matter has moved forward rapidly, leaving in its wake a series of generic and profound NeSP questions that now need answers: When is time-reversal symmetry, broken at the microscale, restored by coarse-graining? If it is restored, is an effective thermodynamic description is possible? How different is an active system's behaviour from a globally forced one?
ADSNeSP aims to distil from recent Active Matter research such fundamental questions; answer them first in the context of specific models and second in more general terms; and then, using the tools and insights gained, shed new light on longstanding problems in the wider class of driven systems.
I believe these new tools and insights will be substantial, because local activity takes systems far from equilibrium in a conceptually distinct direction from most types of global driving. By focusing on general principles and on simple models of activity, I seek to create a new vantage point that can inform, and potentially transform, wider areas of statistical physics.
Max ERC Funding
2 043 630 €
Duration
Start date: 2017-10-01, End date: 2022-09-30
Project acronym AEDNA
Project Amorphous and Evolutionary DNA Nanotechnology
Researcher (PI) Friedrich SIMMEL
Host Institution (HI) TECHNISCHE UNIVERSITAET MUENCHEN
Call Details Advanced Grant (AdG), PE5, ERC-2015-AdG
Summary Amorphous and evolutionary DNA nanotechnology (AEDNA) explores novel conceptual directions and applications for DNA nanotechnology, which are based on intelligent, DNA-programmed soft hybrid materials, and the utilization of evolutionary principles for the optimization of nucleic acid nanocomponents.
Amorphous DNA nanotechnology first aims at the creation of cell-sized, DNA-programmed microgels – DNA cells – with sensor, computation, communication, and actuator functions. Interacting DNA cells will be arranged into chemical cell consortia and artificial tissues using microfluidics, micromanipulation and 3D bioprinting techniques. Spatially distributed chemical circuits will then be utilized to establish collective behaviors such as quorum sensing, pattern formation, and self-differentiation within these consortia and tissues. The approach will be further scaled up to produce multicomponent DNA gel compositions that become active and differentiate upon mixing.
In evolutionary nanotechnology, techniques derived from directed molecular evolution experiments will be applied to optimize the arrangement of functional nucleic acids on DNA and RNA nanoscaffolds. Compartmentalization and microfluidics will be utilized to screen for nucleic acid nanostructures capable of superstructure formation, and also for the development of ligand-sensitive components for molecular programming. An evolutionary approach will then be applied to amorphous DNA cells, resulting in DNA cell populations which contain individuals with different molecular identities.
The proposal will pave the way for the creation of macroscopic materials with DNA-programmed intelligence, resulting in novel applications for DNA nanotechnology and molecular programming in diverse fields such as environmental and biological sensing, biocatalysis, smart adaptive materials, and soft robotics.
Summary
Amorphous and evolutionary DNA nanotechnology (AEDNA) explores novel conceptual directions and applications for DNA nanotechnology, which are based on intelligent, DNA-programmed soft hybrid materials, and the utilization of evolutionary principles for the optimization of nucleic acid nanocomponents.
Amorphous DNA nanotechnology first aims at the creation of cell-sized, DNA-programmed microgels – DNA cells – with sensor, computation, communication, and actuator functions. Interacting DNA cells will be arranged into chemical cell consortia and artificial tissues using microfluidics, micromanipulation and 3D bioprinting techniques. Spatially distributed chemical circuits will then be utilized to establish collective behaviors such as quorum sensing, pattern formation, and self-differentiation within these consortia and tissues. The approach will be further scaled up to produce multicomponent DNA gel compositions that become active and differentiate upon mixing.
In evolutionary nanotechnology, techniques derived from directed molecular evolution experiments will be applied to optimize the arrangement of functional nucleic acids on DNA and RNA nanoscaffolds. Compartmentalization and microfluidics will be utilized to screen for nucleic acid nanostructures capable of superstructure formation, and also for the development of ligand-sensitive components for molecular programming. An evolutionary approach will then be applied to amorphous DNA cells, resulting in DNA cell populations which contain individuals with different molecular identities.
The proposal will pave the way for the creation of macroscopic materials with DNA-programmed intelligence, resulting in novel applications for DNA nanotechnology and molecular programming in diverse fields such as environmental and biological sensing, biocatalysis, smart adaptive materials, and soft robotics.
Max ERC Funding
2 157 698 €
Duration
Start date: 2016-06-01, End date: 2021-05-31
Project acronym AEROCAT
Project Non-ordered nanoparticle superstructures – aerogels as efficient (electro-)catalysts
Researcher (PI) Alexander Eychmüller
Host Institution (HI) TECHNISCHE UNIVERSITAET DRESDEN
Call Details Advanced Grant (AdG), PE5, ERC-2013-ADG
Summary "AEROCAT aims at the elucidation of the potential of nanoparticle derived aerogels in catalytic applications. The materials will be produced from a variety of nanoparticles available in colloidal solutions, amongst which are metals and metal oxides. The evolving aerogels are extremely light, highly porous solids and have been demonstrated to exhibit in many cases the important properties of the nanosized objects they consist of instead of simply those of the respective bulk solids. The resulting aerogel materials will be characterized with respect to their morphology and composition and their resulting (electro-)catalytic properties examined in the light of the inherent electronic nature of the nanosized constituents. Using the knowledge gained within the project the aerogel materials will be further re-processed in order to exploit their full potential relevant to catalysis and electrocatalysis.
From the vast variety of possible applications of nanoparticle-based hydro- and aerogels like thermoelectrics, LEDs, pollutant clearance, sensorics and others we choose our strictly focused approach
(i) due to the paramount importance of catalysis for the Chemical Industry,
(ii) because we have successfully studied the Ethanol electrooxidation on a Pd-nanoparticle aerogel,
(iii) we have patented on the oxygen reduction reaction in fuel cells with bimetallic aerogels,
(iv) and we gained first and extremely promising results on the semi-hydrogenation of Acetylene on a mixed Pd/ZnO-nanoparticle aerogel.
With this we are on the forefront of a research field which impact might not be overestimated. We should quickly explore its potentials and transfer on a short track the knowledge gained into pre-industrial testing."
Summary
"AEROCAT aims at the elucidation of the potential of nanoparticle derived aerogels in catalytic applications. The materials will be produced from a variety of nanoparticles available in colloidal solutions, amongst which are metals and metal oxides. The evolving aerogels are extremely light, highly porous solids and have been demonstrated to exhibit in many cases the important properties of the nanosized objects they consist of instead of simply those of the respective bulk solids. The resulting aerogel materials will be characterized with respect to their morphology and composition and their resulting (electro-)catalytic properties examined in the light of the inherent electronic nature of the nanosized constituents. Using the knowledge gained within the project the aerogel materials will be further re-processed in order to exploit their full potential relevant to catalysis and electrocatalysis.
From the vast variety of possible applications of nanoparticle-based hydro- and aerogels like thermoelectrics, LEDs, pollutant clearance, sensorics and others we choose our strictly focused approach
(i) due to the paramount importance of catalysis for the Chemical Industry,
(ii) because we have successfully studied the Ethanol electrooxidation on a Pd-nanoparticle aerogel,
(iii) we have patented on the oxygen reduction reaction in fuel cells with bimetallic aerogels,
(iv) and we gained first and extremely promising results on the semi-hydrogenation of Acetylene on a mixed Pd/ZnO-nanoparticle aerogel.
With this we are on the forefront of a research field which impact might not be overestimated. We should quickly explore its potentials and transfer on a short track the knowledge gained into pre-industrial testing."
Max ERC Funding
2 194 000 €
Duration
Start date: 2014-02-01, End date: 2019-01-31
Project acronym AestApp
Project The Aesthetics of Applied Theatre
Researcher (PI) Matthias Warstat
Host Institution (HI) FREIE UNIVERSITAET BERLIN
Call Details Advanced Grant (AdG), SH5, ERC-2011-ADG_20110406
Summary The project aims to systematically explore an entire field of current forms of theatre, which despite its outstanding cultural and political significance has so far largely been ignored by theatre studies. Over the past two decades, notwithstanding intense competition from television and electronic media, theatre has been able to reassert and even reinforce its relevance in many different parts of the world and in widely diverse cultural fields (politics, business, social work, development aid, health care, and education). This renewed relevance originates not in traditional, experimental, or commercial theatre but rather among the many different types of applied theatre, which set in motion constructive social processes while upholding theatre’s aesthetic claim. Theatre with clear social, political, or economic aims is experiencing an unprecedented boom. The study will analyse this cross-cultural trend against the background of new theories of the aesthetics of performances and rehearsal processes. This theatre studies approach promises precise insights into the aesthetic forms of applied theatre, which constitute the (hitherto barely researched) foundation of its political effects. It will furthermore bring to light the ethical issues of applied theatre: intense aesthetic experiences – often linked with risks when it comes to performances – do not readily fit in with the claim to restore children, youngsters, patients, and other target groups to health, integrity, and self-confidence through theatrical practice. The project aims to show how aesthetic, political, and ethical aspects interact in the practice of applied theatre. Investigations will focus on carefully selected case studies in Africa, Europe, the Middle East, and Latin America, whose comparison will make it possible for the first time to capture the worldwide landscape of applied theatre in its full diversity, but also in its overarching structures and interrelations.
Summary
The project aims to systematically explore an entire field of current forms of theatre, which despite its outstanding cultural and political significance has so far largely been ignored by theatre studies. Over the past two decades, notwithstanding intense competition from television and electronic media, theatre has been able to reassert and even reinforce its relevance in many different parts of the world and in widely diverse cultural fields (politics, business, social work, development aid, health care, and education). This renewed relevance originates not in traditional, experimental, or commercial theatre but rather among the many different types of applied theatre, which set in motion constructive social processes while upholding theatre’s aesthetic claim. Theatre with clear social, political, or economic aims is experiencing an unprecedented boom. The study will analyse this cross-cultural trend against the background of new theories of the aesthetics of performances and rehearsal processes. This theatre studies approach promises precise insights into the aesthetic forms of applied theatre, which constitute the (hitherto barely researched) foundation of its political effects. It will furthermore bring to light the ethical issues of applied theatre: intense aesthetic experiences – often linked with risks when it comes to performances – do not readily fit in with the claim to restore children, youngsters, patients, and other target groups to health, integrity, and self-confidence through theatrical practice. The project aims to show how aesthetic, political, and ethical aspects interact in the practice of applied theatre. Investigations will focus on carefully selected case studies in Africa, Europe, the Middle East, and Latin America, whose comparison will make it possible for the first time to capture the worldwide landscape of applied theatre in its full diversity, but also in its overarching structures and interrelations.
Max ERC Funding
2 285 295 €
Duration
Start date: 2012-12-01, End date: 2017-11-30
Project acronym AFMIDMOA
Project "Applying Fundamental Mathematics in Discrete Mathematics, Optimization, and Algorithmics"
Researcher (PI) Alexander Schrijver
Host Institution (HI) UNIVERSITEIT VAN AMSTERDAM
Call Details Advanced Grant (AdG), PE1, ERC-2013-ADG
Summary "This proposal aims at strengthening the connections between more fundamentally oriented areas of mathematics like algebra, geometry, analysis, and topology, and the more applied oriented and more recently emerging disciplines of discrete mathematics, optimization, and algorithmics.
The overall goal of the project is to obtain, with methods from fundamental mathematics, new effective tools to unravel the complexity of structures like graphs, networks, codes, knots, polynomials, and tensors, and to get a grip on such complex structures by new efficient characterizations, sharper bounds, and faster algorithms.
In the last few years, there have been several new developments where methods from representation theory, invariant theory, algebraic geometry, measure theory, functional analysis, and topology found new applications in discrete mathematics and optimization, both theoretically and algorithmically. Among the typical application areas are networks, coding, routing, timetabling, statistical and quantum physics, and computer science.
The project focuses in particular on:
A. Understanding partition functions with invariant theory and algebraic geometry
B. Graph limits, regularity, Hilbert spaces, and low rank approximation of polynomials
C. Reducing complexity in optimization by exploiting symmetry with representation theory
D. Reducing complexity in discrete optimization by homotopy and cohomology
These research modules are interconnected by themes like symmetry, regularity, and complexity, and by common methods from algebra, analysis, geometry, and topology."
Summary
"This proposal aims at strengthening the connections between more fundamentally oriented areas of mathematics like algebra, geometry, analysis, and topology, and the more applied oriented and more recently emerging disciplines of discrete mathematics, optimization, and algorithmics.
The overall goal of the project is to obtain, with methods from fundamental mathematics, new effective tools to unravel the complexity of structures like graphs, networks, codes, knots, polynomials, and tensors, and to get a grip on such complex structures by new efficient characterizations, sharper bounds, and faster algorithms.
In the last few years, there have been several new developments where methods from representation theory, invariant theory, algebraic geometry, measure theory, functional analysis, and topology found new applications in discrete mathematics and optimization, both theoretically and algorithmically. Among the typical application areas are networks, coding, routing, timetabling, statistical and quantum physics, and computer science.
The project focuses in particular on:
A. Understanding partition functions with invariant theory and algebraic geometry
B. Graph limits, regularity, Hilbert spaces, and low rank approximation of polynomials
C. Reducing complexity in optimization by exploiting symmetry with representation theory
D. Reducing complexity in discrete optimization by homotopy and cohomology
These research modules are interconnected by themes like symmetry, regularity, and complexity, and by common methods from algebra, analysis, geometry, and topology."
Max ERC Funding
2 001 598 €
Duration
Start date: 2014-01-01, End date: 2018-12-31
Project acronym AFRICA-GHG
Project AFRICA-GHG: The role of African tropical forests on the Greenhouse Gases balance of the atmosphere
Researcher (PI) Riccardo Valentini
Host Institution (HI) FONDAZIONE CENTRO EURO-MEDITERRANEOSUI CAMBIAMENTI CLIMATICI
Call Details Advanced Grant (AdG), PE10, ERC-2009-AdG
Summary The role of the African continent in the global carbon cycle, and therefore in climate change, is increasingly recognised. Despite the increasingly acknowledged importance of Africa in the global carbon cycle and its high vulnerability to climate change there is still a lack of studies on the carbon cycle in representative African ecosystems (in particular tropical forests), and on the effects of climate on ecosystem-atmosphere exchange. In the present proposal we want to focus on these spoecifc objectives : 1. Understand the role of African tropical rainforest on the GHG balance of the atmosphere and revise their role on the global methane and N2O emissions. 2. Determine the carbon source/sink strength of African tropical rainforest in the pre-industrial versus the XXth century by temporal reconstruction of biomass growth with biogeochemical markers 3. Understand and quantify carbon and GHG fluxes variability across African tropical forests (west east equatorial belt) 4.Analyse the impact of forest degradation and deforestation on carbon and other GHG emissions
Summary
The role of the African continent in the global carbon cycle, and therefore in climate change, is increasingly recognised. Despite the increasingly acknowledged importance of Africa in the global carbon cycle and its high vulnerability to climate change there is still a lack of studies on the carbon cycle in representative African ecosystems (in particular tropical forests), and on the effects of climate on ecosystem-atmosphere exchange. In the present proposal we want to focus on these spoecifc objectives : 1. Understand the role of African tropical rainforest on the GHG balance of the atmosphere and revise their role on the global methane and N2O emissions. 2. Determine the carbon source/sink strength of African tropical rainforest in the pre-industrial versus the XXth century by temporal reconstruction of biomass growth with biogeochemical markers 3. Understand and quantify carbon and GHG fluxes variability across African tropical forests (west east equatorial belt) 4.Analyse the impact of forest degradation and deforestation on carbon and other GHG emissions
Max ERC Funding
2 406 950 €
Duration
Start date: 2010-04-01, End date: 2014-12-31
