Project acronym 9 SALT
Project Reassessing Ninth Century Philosophy. A Synchronic Approach to the Logical Traditions
Researcher (PI) Christophe Florian Erismann
Host Institution (HI) UNIVERSITAT WIEN
Country Austria
Call Details Consolidator Grant (CoG), SH5, ERC-2014-CoG
Summary This project aims at a better understanding of the philosophical richness of ninth century thought using the unprecedented and highly innovative method of the synchronic approach. The hypothesis directing this synchronic approach is that studying together in parallel the four main philosophical traditions of the century – i.e. Latin, Greek, Syriac and Arabic – will bring results that the traditional enquiry limited to one tradition alone can never reach. This implies pioneering a new methodology to overcome the compartmentalization of research which prevails nowadays. Using this method is only possible because the four conditions of applicability – comparable intellectual environment, common text corpus, similar methodological perspective, commensurable problems – are fulfilled. The ninth century, a time of cultural renewal in the Carolingian, Byzantine and Abbasid empires, possesses the remarkable characteristic – which ensures commensurability – that the same texts, namely the writings of Aristotelian logic (mainly Porphyry’s Isagoge and Aristotle’s Categories) were read and commented upon in Latin, Greek, Syriac and Arabic alike.
Logic is fundamental to philosophical enquiry. The contested question is the human capacity to rationalise, analyse and describe the sensible reality, to understand the ontological structure of the world, and to define the types of entities which exist. The use of this unprecedented synchronic approach will allow us a deeper understanding of the positions, a clear identification of the a priori postulates of the philosophical debates, and a critical evaluation of the arguments used. It provides a unique opportunity to compare the different traditions and highlight the heritage which is common, to stress the specificities of each tradition when tackling philosophical issues and to discover the doctrinal results triggered by their mutual interactions, be they constructive (scholarly exchanges) or polemic (religious controversies).
Summary
This project aims at a better understanding of the philosophical richness of ninth century thought using the unprecedented and highly innovative method of the synchronic approach. The hypothesis directing this synchronic approach is that studying together in parallel the four main philosophical traditions of the century – i.e. Latin, Greek, Syriac and Arabic – will bring results that the traditional enquiry limited to one tradition alone can never reach. This implies pioneering a new methodology to overcome the compartmentalization of research which prevails nowadays. Using this method is only possible because the four conditions of applicability – comparable intellectual environment, common text corpus, similar methodological perspective, commensurable problems – are fulfilled. The ninth century, a time of cultural renewal in the Carolingian, Byzantine and Abbasid empires, possesses the remarkable characteristic – which ensures commensurability – that the same texts, namely the writings of Aristotelian logic (mainly Porphyry’s Isagoge and Aristotle’s Categories) were read and commented upon in Latin, Greek, Syriac and Arabic alike.
Logic is fundamental to philosophical enquiry. The contested question is the human capacity to rationalise, analyse and describe the sensible reality, to understand the ontological structure of the world, and to define the types of entities which exist. The use of this unprecedented synchronic approach will allow us a deeper understanding of the positions, a clear identification of the a priori postulates of the philosophical debates, and a critical evaluation of the arguments used. It provides a unique opportunity to compare the different traditions and highlight the heritage which is common, to stress the specificities of each tradition when tackling philosophical issues and to discover the doctrinal results triggered by their mutual interactions, be they constructive (scholarly exchanges) or polemic (religious controversies).
Max ERC Funding
1 998 566 €
Duration
Start date: 2015-09-01, End date: 2021-02-28
Project acronym ABINITIODGA
Project Ab initio Dynamical Vertex Approximation
Researcher (PI) Karsten Held
Host Institution (HI) TECHNISCHE UNIVERSITAET WIEN
Country Austria
Call Details Starting Grant (StG), PE3, ERC-2012-StG_20111012
Summary Some of the most fascinating physical phenomena are experimentally observed in strongly correlated electron systems and, on the theoretical side, only poorly understood hitherto. The aim of the ERC project AbinitioDGA is the development, implementation and application of a new, 21th century method for the ab initio calculation of materials with such strong electronic correlations. AbinitioDGA includes strong electronic correlations on all time and length scales and hence is a big step beyond the state-of-the-art methods, such as the local density approximation, dynamical mean field theory, and the GW approach (Green function G times screened interaction W). It has the potential for an extraordinary high impact not only in the field of computational materials science but also for a better understanding of quantum critical heavy fermion systems, high-temperature superconductors, and transport through nano- and heterostructures. These four physical problems and related materials will be studied within the ERC project, besides the methodological development.
On the technical side, AbinitioDGA realizes Hedin's idea to include vertex corrections beyond the GW approximation. All vertex corrections which can be traced back to a fully irreducible local vertex and the bare non-local Coulomb interaction are included. This way, AbinitioDGA does not only contain the GW physics of screened exchange and the strong local correlations of dynamical mean field theory but also non-local correlations beyond on all length scales. Through the latter, AbinitioDGA can prospectively describe phenomena such as quantum criticality, spin-fluctuation mediated superconductivity, and weak localization corrections to the conductivity. Nonetheless, the computational effort is still manageable even for realistic materials calculations, making the considerable effort to implement AbinitioDGA worthwhile.
Summary
Some of the most fascinating physical phenomena are experimentally observed in strongly correlated electron systems and, on the theoretical side, only poorly understood hitherto. The aim of the ERC project AbinitioDGA is the development, implementation and application of a new, 21th century method for the ab initio calculation of materials with such strong electronic correlations. AbinitioDGA includes strong electronic correlations on all time and length scales and hence is a big step beyond the state-of-the-art methods, such as the local density approximation, dynamical mean field theory, and the GW approach (Green function G times screened interaction W). It has the potential for an extraordinary high impact not only in the field of computational materials science but also for a better understanding of quantum critical heavy fermion systems, high-temperature superconductors, and transport through nano- and heterostructures. These four physical problems and related materials will be studied within the ERC project, besides the methodological development.
On the technical side, AbinitioDGA realizes Hedin's idea to include vertex corrections beyond the GW approximation. All vertex corrections which can be traced back to a fully irreducible local vertex and the bare non-local Coulomb interaction are included. This way, AbinitioDGA does not only contain the GW physics of screened exchange and the strong local correlations of dynamical mean field theory but also non-local correlations beyond on all length scales. Through the latter, AbinitioDGA can prospectively describe phenomena such as quantum criticality, spin-fluctuation mediated superconductivity, and weak localization corrections to the conductivity. Nonetheless, the computational effort is still manageable even for realistic materials calculations, making the considerable effort to implement AbinitioDGA worthwhile.
Max ERC Funding
1 491 090 €
Duration
Start date: 2013-01-01, End date: 2018-07-31
Project acronym ACTIVENP
Project Active and low loss nano photonics (ActiveNP)
Researcher (PI) Thomas Arno Klar
Host Institution (HI) UNIVERSITAT LINZ
Country Austria
Call Details Starting Grant (StG), PE3, ERC-2010-StG_20091028
Summary This project aims at designing novel hybrid nanophotonic devices comprising metallic nanostructures and active elements such as dye molecules or colloidal quantum dots. Three core objectives, each going far beyond the state of the art, shall be tackled: (i) Metamaterials containing gain materials: Metamaterials introduce magnetism to the optical frequency range and hold promise to create entirely novel devices for light manipulation. Since present day metamaterials are extremely absorptive, it is of utmost importance to fight losses. The ground-breaking approach of this proposal is to incorporate fluorescing species into the nanoscale metallic metastructures in order to compensate losses by stimulated emission. (ii) The second objective exceeds the ansatz of compensating losses and will reach out for lasing action. Individual metallic nanostructures such as pairs of nanoparticles will form novel and unusual nanometre sized resonators for laser action. State of the art microresonators still have a volume of at least half of the wavelength cubed. Noble metal nanoparticle resonators scale down this volume by a factor of thousand allowing for truly nanoscale coherent light sources. (iii) A third objective concerns a substantial improvement of nonlinear effects. This will be accomplished by drastically sharpened resonances of nanoplasmonic devices surrounded by active gain materials. An interdisciplinary team of PhD students and a PostDoc will be assembled, each scientist being uniquely qualified to cover one of the expertise fields: Design, spectroscopy, and simulation. The project s outcome is twofold: A substantial expansion of fundamental understanding of nanophotonics and practical devices such as nanoscopic lasers and low loss metamaterials.
Summary
This project aims at designing novel hybrid nanophotonic devices comprising metallic nanostructures and active elements such as dye molecules or colloidal quantum dots. Three core objectives, each going far beyond the state of the art, shall be tackled: (i) Metamaterials containing gain materials: Metamaterials introduce magnetism to the optical frequency range and hold promise to create entirely novel devices for light manipulation. Since present day metamaterials are extremely absorptive, it is of utmost importance to fight losses. The ground-breaking approach of this proposal is to incorporate fluorescing species into the nanoscale metallic metastructures in order to compensate losses by stimulated emission. (ii) The second objective exceeds the ansatz of compensating losses and will reach out for lasing action. Individual metallic nanostructures such as pairs of nanoparticles will form novel and unusual nanometre sized resonators for laser action. State of the art microresonators still have a volume of at least half of the wavelength cubed. Noble metal nanoparticle resonators scale down this volume by a factor of thousand allowing for truly nanoscale coherent light sources. (iii) A third objective concerns a substantial improvement of nonlinear effects. This will be accomplished by drastically sharpened resonances of nanoplasmonic devices surrounded by active gain materials. An interdisciplinary team of PhD students and a PostDoc will be assembled, each scientist being uniquely qualified to cover one of the expertise fields: Design, spectroscopy, and simulation. The project s outcome is twofold: A substantial expansion of fundamental understanding of nanophotonics and practical devices such as nanoscopic lasers and low loss metamaterials.
Max ERC Funding
1 494 756 €
Duration
Start date: 2010-10-01, End date: 2015-09-30
Project acronym AdriArchCult
Project Architectural Culture of the Early Modern Eastern Adriatic
Researcher (PI) Jasenka Gudelj
Host Institution (HI) UNIVERSITA CA' FOSCARI VENEZIA
Country Italy
Call Details Consolidator Grant (CoG), SH5, ERC-2019-COG
Summary During the 15th century, the political process of reducing the Eastern Adriatic, here considered as encompassing what is now littoral of Slovenia, Croatia and Montenegro, to a thin strip of border territories substantially separated from the continental massive to which they belong, reached its conclusion. The insularity of its large natural archipelago, i.e. almost exclusive dependence on the maritime communications, became characteristic even of mainland coastal towns, with lasting consequences. The project explores the impact of this change in the area between 15th and 18th c., focusing on architecture as the most evident materialization of a culture and its transformations. The goal is to examine the architectural culture in question in terms of both consumption and production. Factors such as political and economic consolidation of Venetian and Dubrovnik Republics as well as Habsburg Empire in the area, war and commerce with the Ottomans, but also the quick spread of revival of antiquity and the Catholic Revival, all fuelled the need for architectural creation with certain functional and symbolic characteristics, setting the cultural standards. On the other hand, the economics of production of architecture consisted of interrelated systems of the provision of materials (esp. Istrian stone) and organisation of construction sites, which, given the ease of the sea transport, resulted in an active market for architectural goods. This approach will provide an original contribution to the understanding of cultural practices that not only produced specific buildings, the most significant among which are now listed as World Heritage sites but also put into circulation ancient and modern models, techniques and materials for a European-wide audience. Moreover, it will investigate the trans-border and trans-confessional character of the architectural market, thus providing an innovative model for a study of such phenomena across Europe.
Summary
During the 15th century, the political process of reducing the Eastern Adriatic, here considered as encompassing what is now littoral of Slovenia, Croatia and Montenegro, to a thin strip of border territories substantially separated from the continental massive to which they belong, reached its conclusion. The insularity of its large natural archipelago, i.e. almost exclusive dependence on the maritime communications, became characteristic even of mainland coastal towns, with lasting consequences. The project explores the impact of this change in the area between 15th and 18th c., focusing on architecture as the most evident materialization of a culture and its transformations. The goal is to examine the architectural culture in question in terms of both consumption and production. Factors such as political and economic consolidation of Venetian and Dubrovnik Republics as well as Habsburg Empire in the area, war and commerce with the Ottomans, but also the quick spread of revival of antiquity and the Catholic Revival, all fuelled the need for architectural creation with certain functional and symbolic characteristics, setting the cultural standards. On the other hand, the economics of production of architecture consisted of interrelated systems of the provision of materials (esp. Istrian stone) and organisation of construction sites, which, given the ease of the sea transport, resulted in an active market for architectural goods. This approach will provide an original contribution to the understanding of cultural practices that not only produced specific buildings, the most significant among which are now listed as World Heritage sites but also put into circulation ancient and modern models, techniques and materials for a European-wide audience. Moreover, it will investigate the trans-border and trans-confessional character of the architectural market, thus providing an innovative model for a study of such phenomena across Europe.
Max ERC Funding
1 999 750 €
Duration
Start date: 2020-09-01, End date: 2025-08-31
Project acronym AlchemEast
Project Alchemy in the Making: From ancient Babylonia via Graeco-Roman Egypt into the Byzantine, Syriac and Arabic traditions (1500 BCE - 1000 AD)
Researcher (PI) Matteo MARTELLI
Host Institution (HI) ALMA MATER STUDIORUM - UNIVERSITA DI BOLOGNA
Country Italy
Call Details Consolidator Grant (CoG), SH5, ERC-2016-COG
Summary "The AlchemEast project is devoted to the study of alchemical theory and practice as it appeared and developed in distinct, albeit contiguous (both chronologically and geographically) areas: Graeco-Roman Egypt, Byzantium, and the Near East, from Ancient Babylonian times to the early Islamic Period. This project combines innovative textual investigations with experimental replications of ancient alchemical procedures. It uses sets of historically and philologically informed laboratory replications in order to reconstruct the actual practice of ancient alchemists, and it studies the texts and literary forms in which this practice was conceptualized and transmitted. It proposes new models for textual criticism in order to capture the fluidity of the transmission of ancient alchemical writings. AlchemEast is designed to carry out a comparative investigation of cuneiform tablets as well as a vast corpus of Greek, Syriac and Arabic writings. It will overcome the old, pejorative paradigm that dismissed ancient alchemy as a ""pseudo-science"", by proposing a new theoretical framework for comprehending the entirety of ancient alchemical practices and theories. Alongside established forms of scholarly output, such as critical editions of key texts, AlchemEast will provide an integrative, longue durée perspective on the many different phases of ancient alchemy. It will thus offer a radically new vision of this discipline as a dynamic and diversified art that developed across different technical and scholastic traditions. This new representation will allow us to connect ancient alchemy with medieval and early modern alchemy and thus fully reintegrate ancient alchemy in the history of pre-modern alchemy as well as in the history of ancient science more broadly."
Summary
"The AlchemEast project is devoted to the study of alchemical theory and practice as it appeared and developed in distinct, albeit contiguous (both chronologically and geographically) areas: Graeco-Roman Egypt, Byzantium, and the Near East, from Ancient Babylonian times to the early Islamic Period. This project combines innovative textual investigations with experimental replications of ancient alchemical procedures. It uses sets of historically and philologically informed laboratory replications in order to reconstruct the actual practice of ancient alchemists, and it studies the texts and literary forms in which this practice was conceptualized and transmitted. It proposes new models for textual criticism in order to capture the fluidity of the transmission of ancient alchemical writings. AlchemEast is designed to carry out a comparative investigation of cuneiform tablets as well as a vast corpus of Greek, Syriac and Arabic writings. It will overcome the old, pejorative paradigm that dismissed ancient alchemy as a ""pseudo-science"", by proposing a new theoretical framework for comprehending the entirety of ancient alchemical practices and theories. Alongside established forms of scholarly output, such as critical editions of key texts, AlchemEast will provide an integrative, longue durée perspective on the many different phases of ancient alchemy. It will thus offer a radically new vision of this discipline as a dynamic and diversified art that developed across different technical and scholastic traditions. This new representation will allow us to connect ancient alchemy with medieval and early modern alchemy and thus fully reintegrate ancient alchemy in the history of pre-modern alchemy as well as in the history of ancient science more broadly."
Max ERC Funding
1 997 000 €
Duration
Start date: 2017-12-01, End date: 2022-11-30
Project acronym AMBH
Project Ancient Music Beyond Hellenisation
Researcher (PI) Stefan HAGEL
Host Institution (HI) OESTERREICHISCHE AKADEMIE DER WISSENSCHAFTEN
Country Austria
Call Details Advanced Grant (AdG), SH5, ERC-2017-ADG
Summary From medieval times, Arabic as well as European music was analysed in terms that were inherited from Classical Antiquity and had thus developed in a very different music culture. In spite of recent breakthroughs in the understanding of the latter, whose technicalities we access not only through texts and iconography, but also through instrument finds and surviving notated melodies, its relation to music traditions known from later periods and different places is almost uncharted territory.
The present project explores relations between Hellenic/Hellenistic music as pervaded the theatres and concert halls throughout and beyond the Roman empire, Near Eastern traditions – from the diatonic system emerging from cuneiform sources to the flourishing musical world of the caliphates – and, as far as possible, African musical life south of Egypt as well – a region that maintained close ties both with the Hellenised culture of its northern neighbours and with the Arabian Peninsula.
On the one hand, this demands collaboration between Classical Philology and Arabic Studies, extending methods recently developed within music archaeological research related to the Classical Mediterranean. Arabic writings need to be examined in close reading, using recent insights into the interplay between ancient music theory and practice, in order to segregate the influence of Greek thinking from ideas and facts that must relate to contemporaneous ‘Arabic’ music-making. In this way we hope better to define the relation of this tradition to the ‘Classical world’, potentially breaking free of Orientalising bias informing modern views. On the other hand, the study and reconstruction, virtual and material, of wind instruments of Hellenistic pedigree but found outside the confinements of the Hellenistic ‘heartlands’ may provide evidence of ‘foreign’ tonality employed in those regions – specifically the royal city of Meroë in modern Sudan and the Oxus Temple in modern Tajikistan.
Summary
From medieval times, Arabic as well as European music was analysed in terms that were inherited from Classical Antiquity and had thus developed in a very different music culture. In spite of recent breakthroughs in the understanding of the latter, whose technicalities we access not only through texts and iconography, but also through instrument finds and surviving notated melodies, its relation to music traditions known from later periods and different places is almost uncharted territory.
The present project explores relations between Hellenic/Hellenistic music as pervaded the theatres and concert halls throughout and beyond the Roman empire, Near Eastern traditions – from the diatonic system emerging from cuneiform sources to the flourishing musical world of the caliphates – and, as far as possible, African musical life south of Egypt as well – a region that maintained close ties both with the Hellenised culture of its northern neighbours and with the Arabian Peninsula.
On the one hand, this demands collaboration between Classical Philology and Arabic Studies, extending methods recently developed within music archaeological research related to the Classical Mediterranean. Arabic writings need to be examined in close reading, using recent insights into the interplay between ancient music theory and practice, in order to segregate the influence of Greek thinking from ideas and facts that must relate to contemporaneous ‘Arabic’ music-making. In this way we hope better to define the relation of this tradition to the ‘Classical world’, potentially breaking free of Orientalising bias informing modern views. On the other hand, the study and reconstruction, virtual and material, of wind instruments of Hellenistic pedigree but found outside the confinements of the Hellenistic ‘heartlands’ may provide evidence of ‘foreign’ tonality employed in those regions – specifically the royal city of Meroë in modern Sudan and the Oxus Temple in modern Tajikistan.
Max ERC Funding
775 959 €
Duration
Start date: 2018-09-01, End date: 2023-08-31
Project acronym AN-ICON
Project An-Iconology: History, Theory, and Practices of Environmental Images
Researcher (PI) Andrea PINOTTI
Host Institution (HI) UNIVERSITA DEGLI STUDI DI MILANO
Country Italy
Call Details Advanced Grant (AdG), SH5, ERC-2018-ADG
Summary "Recent developments in image-making techniques have resulted in a drastic blurring of the threshold between the world of the image and the real world. Immersive and interactive virtual environments have enabled the production of pictures that elicit in the perceiver a strong feeling of being incorporated in a quasi-real world. In doing so such pictures conceal their mediateness (their being based on a material support), their referentiality (their pointing to an extra-iconic dimension), and their separateness (normally assured by framing devices), paradoxically challenging their status as images, as icons: they are veritable “an-icons”.
This kind of pictures undermines the mainstream paradigm of Western image theories, shared by major models such as the doctrine of mimesis, the phenomenological account of image-consciousness, the analytic theories of depiction, the semiotic and iconological methods. These approaches miss the key counter-properties regarding an-icons as ""environmental"" images: their immediateness, unframedness, and presentness. Subjects relating to an-icons are no longer visual observers of images; they are experiencers living in a quasi-real environment that allows multisensory affordances and embodied agencies.
AN-ICON aims to develop “an-iconology” as a new methodological approach able to address this challenging iconoscape. Such an approach needs to be articulated in a transdisciplinary and transmedial way: 1) HISTORY – a media-archaeological reconstruction will provide a taxonomy of the manifold an-iconic strategies (e.g. illusionistic painting, pre-cinematic dispositifs, 3D films, video games, head mounted displays); 2) THEORY – an experiential account (drawing on phenomenology, visual culture and media studies) will identify the an-iconic key concepts; 3) PRACTICES – a socio-cultural section will explore the multifaceted impact of an-iconic images, environments and technologies on contemporary professional domains as well as on everyday life.
"
Summary
"Recent developments in image-making techniques have resulted in a drastic blurring of the threshold between the world of the image and the real world. Immersive and interactive virtual environments have enabled the production of pictures that elicit in the perceiver a strong feeling of being incorporated in a quasi-real world. In doing so such pictures conceal their mediateness (their being based on a material support), their referentiality (their pointing to an extra-iconic dimension), and their separateness (normally assured by framing devices), paradoxically challenging their status as images, as icons: they are veritable “an-icons”.
This kind of pictures undermines the mainstream paradigm of Western image theories, shared by major models such as the doctrine of mimesis, the phenomenological account of image-consciousness, the analytic theories of depiction, the semiotic and iconological methods. These approaches miss the key counter-properties regarding an-icons as ""environmental"" images: their immediateness, unframedness, and presentness. Subjects relating to an-icons are no longer visual observers of images; they are experiencers living in a quasi-real environment that allows multisensory affordances and embodied agencies.
AN-ICON aims to develop “an-iconology” as a new methodological approach able to address this challenging iconoscape. Such an approach needs to be articulated in a transdisciplinary and transmedial way: 1) HISTORY – a media-archaeological reconstruction will provide a taxonomy of the manifold an-iconic strategies (e.g. illusionistic painting, pre-cinematic dispositifs, 3D films, video games, head mounted displays); 2) THEORY – an experiential account (drawing on phenomenology, visual culture and media studies) will identify the an-iconic key concepts; 3) PRACTICES – a socio-cultural section will explore the multifaceted impact of an-iconic images, environments and technologies on contemporary professional domains as well as on everyday life.
"
Max ERC Funding
2 328 736 €
Duration
Start date: 2019-09-01, End date: 2024-08-31
Project acronym ANALYTIC
Project ANALYTIC PROPERTIES OF INFINITE GROUPS:
limits, curvature, and randomness
Researcher (PI) Gulnara Arzhantseva
Host Institution (HI) UNIVERSITAT WIEN
Country Austria
Call Details Starting Grant (StG), PE1, ERC-2010-StG_20091028
Summary The overall goal of this project is to develop new concepts and techniques in geometric and asymptotic group theory for a systematic study of the analytic properties of discrete groups. These are properties depending on the unitary representation theory of the group. The fundamental examples are amenability, discovered by von Neumann in 1929, and property (T), introduced by Kazhdan in 1967.
My main objective is to establish the precise relations between groups recently appeared in K-theory and topology such as C*-exact groups and groups coarsely embeddable into a Hilbert space, versus those discovered in ergodic theory and operator algebra, for example, sofic and hyperlinear groups. This is a first ever attempt to confront the analytic behavior of so different nature. I plan to work on crucial open questions: Is every coarsely embeddable group C*-exact? Is every group sofic? Is every hyperlinear group sofic?
My motivation is two-fold:
- Many outstanding conjectures were recently solved for these groups, e.g. the Novikov conjecture (1965) for coarsely embeddable groups by Yu in 2000 and the Gottschalk surjunctivity conjecture (1973) for sofic groups by Gromov in 1999. However, their group-theoretical structure remains mysterious.
- In recent years, geometric group theory has undergone significant changes, mainly due to the growing impact of this theory on other branches of mathematics. However, the interplay between geometric, asymptotic, and analytic group properties has not yet been fully understood.
The main innovative contribution of this proposal lies in the interaction between 3 axes: (i) limits of groups, in the space of marked groups or metric ultralimits; (ii) analytic properties of groups with curvature, of lacunary or relatively hyperbolic groups; (iii) random groups, in a topological or statistical meaning. As a result, I will describe the above apparently unrelated classes of groups in a unified way and will detail their algebraic behavior.
Summary
The overall goal of this project is to develop new concepts and techniques in geometric and asymptotic group theory for a systematic study of the analytic properties of discrete groups. These are properties depending on the unitary representation theory of the group. The fundamental examples are amenability, discovered by von Neumann in 1929, and property (T), introduced by Kazhdan in 1967.
My main objective is to establish the precise relations between groups recently appeared in K-theory and topology such as C*-exact groups and groups coarsely embeddable into a Hilbert space, versus those discovered in ergodic theory and operator algebra, for example, sofic and hyperlinear groups. This is a first ever attempt to confront the analytic behavior of so different nature. I plan to work on crucial open questions: Is every coarsely embeddable group C*-exact? Is every group sofic? Is every hyperlinear group sofic?
My motivation is two-fold:
- Many outstanding conjectures were recently solved for these groups, e.g. the Novikov conjecture (1965) for coarsely embeddable groups by Yu in 2000 and the Gottschalk surjunctivity conjecture (1973) for sofic groups by Gromov in 1999. However, their group-theoretical structure remains mysterious.
- In recent years, geometric group theory has undergone significant changes, mainly due to the growing impact of this theory on other branches of mathematics. However, the interplay between geometric, asymptotic, and analytic group properties has not yet been fully understood.
The main innovative contribution of this proposal lies in the interaction between 3 axes: (i) limits of groups, in the space of marked groups or metric ultralimits; (ii) analytic properties of groups with curvature, of lacunary or relatively hyperbolic groups; (iii) random groups, in a topological or statistical meaning. As a result, I will describe the above apparently unrelated classes of groups in a unified way and will detail their algebraic behavior.
Max ERC Funding
1 065 500 €
Duration
Start date: 2011-04-01, End date: 2016-03-31
Project acronym ANGULON
Project Angulon: physics and applications of a new quasiparticle
Researcher (PI) Mikhail Lemeshko
Host Institution (HI) INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Country Austria
Call Details Starting Grant (StG), PE3, ERC-2018-STG
Summary This project aims to develop a universal approach to angular momentum in quantum many-body systems based on the angulon quasiparticle recently discovered by the PI. We will establish a general theory of angulons in and out of equilibrium, and apply it to a variety of experimentally studied problems, ranging from chemical dynamics in solvents to solid-state systems (e.g. angular momentum transfer in the Einstein-de Haas effect and ultrafast magnetism).
The concept of angular momentum is ubiquitous across physics, whether one deals with nuclear collisions, chemical reactions, or formation of galaxies. In the microscopic world, quantum rotations are described by non-commuting operators. This makes the angular momentum theory extremely involved, even for systems consisting of only a few interacting particles, such as gas-phase atoms or molecules.
Furthermore, in most experiments the behavior of quantum particles is inevitably altered by a many-body environment of some kind. For example, molecular rotation – and therefore reactivity – depends on the presence of a solvent, electronic angular momentum in solids is coupled to lattice phonons, highly excited atomic levels can be perturbed by a surrounding ultracold gas. If approached in a brute-force fashion, understanding angular momentum in such systems is an impossible task, since a macroscopic number of particles is involved.
Recently, the PI and his team have shown that this challenge can be met by introducing a new quasiparticle – the angulon. In 2017, the PI has demonstrated the existence of angulons by comparing his theory with 20 years of measurements on molecules rotating in superfluids. Most importantly, the angulon concept allows one to gain analytical insights inaccessible to the state-of-the-art techniques of condensed matter and chemical physics. The angulon approach holds the promise of opening up a new interdisciplinary research area with applications reaching far beyond what is proposed here.
Summary
This project aims to develop a universal approach to angular momentum in quantum many-body systems based on the angulon quasiparticle recently discovered by the PI. We will establish a general theory of angulons in and out of equilibrium, and apply it to a variety of experimentally studied problems, ranging from chemical dynamics in solvents to solid-state systems (e.g. angular momentum transfer in the Einstein-de Haas effect and ultrafast magnetism).
The concept of angular momentum is ubiquitous across physics, whether one deals with nuclear collisions, chemical reactions, or formation of galaxies. In the microscopic world, quantum rotations are described by non-commuting operators. This makes the angular momentum theory extremely involved, even for systems consisting of only a few interacting particles, such as gas-phase atoms or molecules.
Furthermore, in most experiments the behavior of quantum particles is inevitably altered by a many-body environment of some kind. For example, molecular rotation – and therefore reactivity – depends on the presence of a solvent, electronic angular momentum in solids is coupled to lattice phonons, highly excited atomic levels can be perturbed by a surrounding ultracold gas. If approached in a brute-force fashion, understanding angular momentum in such systems is an impossible task, since a macroscopic number of particles is involved.
Recently, the PI and his team have shown that this challenge can be met by introducing a new quasiparticle – the angulon. In 2017, the PI has demonstrated the existence of angulons by comparing his theory with 20 years of measurements on molecules rotating in superfluids. Most importantly, the angulon concept allows one to gain analytical insights inaccessible to the state-of-the-art techniques of condensed matter and chemical physics. The angulon approach holds the promise of opening up a new interdisciplinary research area with applications reaching far beyond what is proposed here.
Max ERC Funding
1 499 588 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym ANOREP
Project Targeting the reproductive biology of the malaria mosquito Anopheles gambiae: from laboratory studies to field applications
Researcher (PI) Flaminia Catteruccia
Host Institution (HI) UNIVERSITA DEGLI STUDI DI PERUGIA
Country Italy
Call Details Starting Grant (StG), LS2, ERC-2010-StG_20091118
Summary Anopheles gambiae mosquitoes are the major vectors of malaria, a disease with devastating consequences for
human health. Novel methods for controlling the natural vector populations are urgently needed, given the
evolution of insecticide resistance in mosquitoes and the lack of novel insecticidals. Understanding the
processes at the bases of mosquito biology may help to roll back malaria. In this proposal, we will target
mosquito reproduction, a major determinant of the An. gambiae vectorial capacity. This will be achieved at
two levels: (i) fundamental research, to provide a deeper knowledge of the processes regulating reproduction
in this species, and (ii) applied research, to identify novel targets and to develop innovative approaches for
the control of natural populations. We will focus our analysis on three major players of mosquito
reproduction: male accessory glands (MAGs), sperm, and spermatheca, in both laboratory and field settings.
We will then translate this information into the identification of inhibitors of mosquito fertility. The
experimental activities will be divided across three objectives. In Objective 1, we will unravel the role of the
MAGs in shaping mosquito fertility and behaviour, by performing a combination of transcriptional and
functional studies that will reveal the multifaceted activities of these tissues. In Objective 2 we will instead
focus on the identification of the male and female factors responsible for sperm viability and function.
Results obtained in both objectives will be validated in field mosquitoes. In Objective 3, we will perform
screens aimed at the identification of inhibitors of mosquito reproductive success. This study will reveal as
yet unknown molecular mechanisms underlying reproductive success in mosquitoes, considerably increasing
our knowledge beyond the state-of-the-art and critically contributing with innovative tools and ideas to the
fight against malaria.
Summary
Anopheles gambiae mosquitoes are the major vectors of malaria, a disease with devastating consequences for
human health. Novel methods for controlling the natural vector populations are urgently needed, given the
evolution of insecticide resistance in mosquitoes and the lack of novel insecticidals. Understanding the
processes at the bases of mosquito biology may help to roll back malaria. In this proposal, we will target
mosquito reproduction, a major determinant of the An. gambiae vectorial capacity. This will be achieved at
two levels: (i) fundamental research, to provide a deeper knowledge of the processes regulating reproduction
in this species, and (ii) applied research, to identify novel targets and to develop innovative approaches for
the control of natural populations. We will focus our analysis on three major players of mosquito
reproduction: male accessory glands (MAGs), sperm, and spermatheca, in both laboratory and field settings.
We will then translate this information into the identification of inhibitors of mosquito fertility. The
experimental activities will be divided across three objectives. In Objective 1, we will unravel the role of the
MAGs in shaping mosquito fertility and behaviour, by performing a combination of transcriptional and
functional studies that will reveal the multifaceted activities of these tissues. In Objective 2 we will instead
focus on the identification of the male and female factors responsible for sperm viability and function.
Results obtained in both objectives will be validated in field mosquitoes. In Objective 3, we will perform
screens aimed at the identification of inhibitors of mosquito reproductive success. This study will reveal as
yet unknown molecular mechanisms underlying reproductive success in mosquitoes, considerably increasing
our knowledge beyond the state-of-the-art and critically contributing with innovative tools and ideas to the
fight against malaria.
Max ERC Funding
1 500 000 €
Duration
Start date: 2011-01-01, End date: 2015-12-31
