Project acronym AdjustNet
Project Self-Adjusting Networks
Researcher (PI) Stefan SCHMID
Host Institution (HI) UNIVERSITAT WIEN
Country Austria
Call Details Consolidator Grant (CoG), PE6, ERC-2019-COG
Summary Communication networks have become a critical infrastructure of our digital society. However, with the explosive growth of data-centric applications and the resulting increasing workloads headed for the world’s datacenter networks, today’s static and demand-oblivious network architectures are reaching their capacity limits.
The AdjustNet project proposes a radically different perspective, envisioning demand-aware networks which can dynamically adapt their topology to the workload they currently serve. Such self-adjusting networks hence allow to exploit structure in the demand, and thereby reach higher levels of efficiency and performance. The vision of AdjustNet is timely and enabled by recent innovations in optical technologies which allow to flexibly reconfigure the physical network topology.
The goal of AdjustNet is to lay the theoretical foundations for self-adjusting networks. We will identify metrics that serve as yardstick of what can and cannot be achieved in a self-adjusting network for a given demand, devise algorithms for online adaption, and validate our framework through case studies. Our novel methodology is motivated by an intriguing connection of self-adjusting networks to known datastructures and to information theory.
AdjustNet comes with significant challenges since, similar to self-driving cars, self-adjusting networks require human network operators to give away control, and since more autonomous network operations may lead to instabilities. AdjustNet will overcome these risks and achieve its objectives by pursuing a rigorous approach, devising a theoretical well-founded framework for self-adjusting networks which come with provable guarantees and incorporate self–protection mechanisms.
The PI is well-equipped for this project and recently obtained first promising results. As the community is currently re-architecting communication networks, there is a unique opportunity to bridge the gap between theory and practice, and have impact.
Summary
Communication networks have become a critical infrastructure of our digital society. However, with the explosive growth of data-centric applications and the resulting increasing workloads headed for the world’s datacenter networks, today’s static and demand-oblivious network architectures are reaching their capacity limits.
The AdjustNet project proposes a radically different perspective, envisioning demand-aware networks which can dynamically adapt their topology to the workload they currently serve. Such self-adjusting networks hence allow to exploit structure in the demand, and thereby reach higher levels of efficiency and performance. The vision of AdjustNet is timely and enabled by recent innovations in optical technologies which allow to flexibly reconfigure the physical network topology.
The goal of AdjustNet is to lay the theoretical foundations for self-adjusting networks. We will identify metrics that serve as yardstick of what can and cannot be achieved in a self-adjusting network for a given demand, devise algorithms for online adaption, and validate our framework through case studies. Our novel methodology is motivated by an intriguing connection of self-adjusting networks to known datastructures and to information theory.
AdjustNet comes with significant challenges since, similar to self-driving cars, self-adjusting networks require human network operators to give away control, and since more autonomous network operations may lead to instabilities. AdjustNet will overcome these risks and achieve its objectives by pursuing a rigorous approach, devising a theoretical well-founded framework for self-adjusting networks which come with provable guarantees and incorporate self–protection mechanisms.
The PI is well-equipped for this project and recently obtained first promising results. As the community is currently re-architecting communication networks, there is a unique opportunity to bridge the gap between theory and practice, and have impact.
Max ERC Funding
1 670 823 €
Duration
Start date: 2020-03-01, End date: 2025-02-28
Project acronym ALPHA
Project Alpha Shape Theory Extended
Researcher (PI) Herbert Edelsbrunner
Host Institution (HI) INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Country Austria
Call Details Advanced Grant (AdG), PE6, ERC-2017-ADG
Summary Alpha shapes were invented in the early 80s of last century, and their implementation in three dimensions in the early 90s was at the forefront of the exact arithmetic paradigm that enabled fast and correct geometric software. In the late 90s, alpha shapes motivated the development of the wrap algorithm for surface reconstruction, and of persistent homology, which was the starting point of rapidly expanding interest in topological algorithms aimed at data analysis questions.
We now see alpha shapes, wrap complexes, and persistent homology as three aspects of a larger theory, which we propose to fully develop. This viewpoint was a long time coming and finds its clear expression within a generalized
version of discrete Morse theory. This unified framework offers new opportunities, including
(I) the adaptive reconstruction of shapes driven by the cavity structure;
(II) the stochastic analysis of all aspects of the theory;
(III) the computation of persistence of dense data, both in scale and in depth;
(IV) the study of long-range order in periodic and near-periodic point configurations.
These capabilities will significantly deepen as well as widen the theory and enable new applications in the sciences. To gain focus, we concentrate on low-dimensional applications in structural molecular biology and particle systems.
Summary
Alpha shapes were invented in the early 80s of last century, and their implementation in three dimensions in the early 90s was at the forefront of the exact arithmetic paradigm that enabled fast and correct geometric software. In the late 90s, alpha shapes motivated the development of the wrap algorithm for surface reconstruction, and of persistent homology, which was the starting point of rapidly expanding interest in topological algorithms aimed at data analysis questions.
We now see alpha shapes, wrap complexes, and persistent homology as three aspects of a larger theory, which we propose to fully develop. This viewpoint was a long time coming and finds its clear expression within a generalized
version of discrete Morse theory. This unified framework offers new opportunities, including
(I) the adaptive reconstruction of shapes driven by the cavity structure;
(II) the stochastic analysis of all aspects of the theory;
(III) the computation of persistence of dense data, both in scale and in depth;
(IV) the study of long-range order in periodic and near-periodic point configurations.
These capabilities will significantly deepen as well as widen the theory and enable new applications in the sciences. To gain focus, we concentrate on low-dimensional applications in structural molecular biology and particle systems.
Max ERC Funding
1 678 432 €
Duration
Start date: 2018-07-01, End date: 2023-06-30
Project acronym AMDROMA
Project Algorithmic and Mechanism Design Research in Online MArkets
Researcher (PI) Stefano LEONARDI
Host Institution (HI) UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA
Country Italy
Call Details Advanced Grant (AdG), PE6, ERC-2017-ADG
Summary Online markets currently form an important share of the global economy. The Internet hosts classical markets (real-estate, stocks, e-commerce) as well allowing new markets with previously unknown features (web-based advertisement, viral marketing, digital goods, crowdsourcing, sharing economy). Algorithms play a central role in many decision processes involved in online markets. For example, algorithms run electronic auctions, trade stocks, adjusts prices dynamically, and harvest big data to provide economic information. Thus, it is of paramount importance to understand the algorithmic and mechanism design foundations of online markets.
The algorithmic research issues that we consider involve algorithmic mechanism design, online and approximation algorithms, modelling uncertainty in online market design, and large-scale data analysisonline and approximation algorithms, large-scale optimization and data mining. The aim of this research project is to combine these fields to consider research questions that are central for today's Internet economy. We plan to apply these techniques so as to solve fundamental algorithmic problems motivated by web-basedInternet advertisement, Internet market designsharing economy, and crowdsourcingonline labour marketplaces. While my planned research is focussedcentered on foundational work with rigorous design and analysis of in algorithms and mechanismsic design and analysis, it will also include as an important component empirical validation on large-scale real-life datasets.
Summary
Online markets currently form an important share of the global economy. The Internet hosts classical markets (real-estate, stocks, e-commerce) as well allowing new markets with previously unknown features (web-based advertisement, viral marketing, digital goods, crowdsourcing, sharing economy). Algorithms play a central role in many decision processes involved in online markets. For example, algorithms run electronic auctions, trade stocks, adjusts prices dynamically, and harvest big data to provide economic information. Thus, it is of paramount importance to understand the algorithmic and mechanism design foundations of online markets.
The algorithmic research issues that we consider involve algorithmic mechanism design, online and approximation algorithms, modelling uncertainty in online market design, and large-scale data analysisonline and approximation algorithms, large-scale optimization and data mining. The aim of this research project is to combine these fields to consider research questions that are central for today's Internet economy. We plan to apply these techniques so as to solve fundamental algorithmic problems motivated by web-basedInternet advertisement, Internet market designsharing economy, and crowdsourcingonline labour marketplaces. While my planned research is focussedcentered on foundational work with rigorous design and analysis of in algorithms and mechanismsic design and analysis, it will also include as an important component empirical validation on large-scale real-life datasets.
Max ERC Funding
1 780 150 €
Duration
Start date: 2018-07-01, End date: 2023-06-30
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 ANTEGEFI
Project Analytic Techniques for Geometric and Functional Inequalities
Researcher (PI) Nicola Fusco
Host Institution (HI) UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II
Country Italy
Call Details Advanced Grant (AdG), PE1, ERC-2008-AdG
Summary Isoperimetric and Sobolev inequalities are the best known examples of geometric-functional inequalities. In recent years the PI and collaborators have obtained new and sharp quantitative versions of these and other important related inequalities. These results have been obtained by the combined use of classical symmetrization methods, new tools coming from mass transportation theory, deep geometric measure tools and ad hoc symmetrizations. The objective of this project is to further develop thes techniques in order to get: sharp quantitative versions of Faber-Krahn inequality, Gaussian isoperimetric inequality, Brunn-Minkowski inequality, Poincaré and Sobolev logarithm inequalities; sharp decay rates for the quantitative Sobolev inequalities and Polya-Szegö inequality.
Summary
Isoperimetric and Sobolev inequalities are the best known examples of geometric-functional inequalities. In recent years the PI and collaborators have obtained new and sharp quantitative versions of these and other important related inequalities. These results have been obtained by the combined use of classical symmetrization methods, new tools coming from mass transportation theory, deep geometric measure tools and ad hoc symmetrizations. The objective of this project is to further develop thes techniques in order to get: sharp quantitative versions of Faber-Krahn inequality, Gaussian isoperimetric inequality, Brunn-Minkowski inequality, Poincaré and Sobolev logarithm inequalities; sharp decay rates for the quantitative Sobolev inequalities and Polya-Szegö inequality.
Max ERC Funding
600 000 €
Duration
Start date: 2009-01-01, End date: 2013-12-31
Project acronym ANTIGONE
Project Archaeology of shariNg pracTIces: the material evidence of mountain marGinalisatiON in Europe (18th- 21st c. AD)
Researcher (PI) Anna Maria STAGNO
Host Institution (HI) UNIVERSITA DEGLI STUDI DI GENOVA
Country Italy
Call Details Starting Grant (StG), SH6, ERC-2019-STG
Summary The main aim of the ANTIGONE project is to investigate how the disappearance of practices for managing shared environmental resources played a role in the abandonment and political marginalisation of European mountain areas from the 18th c onwards. The legacy of these processes can be seen in population levels in these areas, and in the worsening of their natural and cultural heritage. Current policies – aiming to promote their ‘heritagisation’ – do not seem likely to be more effective, in the long-term, as development interventions than the drive for rationalisation in the 19th c. and modernisation in the 20th c. A new historical perspective is needed which addresses the process of abandonment and marginalisation in its entire complexity. ANTIGONE will analyse the critical period from the 18th to the 21st c. and provide new insights into the links between individuals, communities, central States and landscape, grounded in a new understanding of the relationship between practices, resources and objects.
By means of archaeological, historical, environmental, ethnological analyses, and through the comparison of case studies from European mountain areas, ANTIGONE aims to verify if alleged ‘improvement’ practices involved not just changes in management technique, but also contributed to decline in the sharing of work, time and space, with knock-on effects on the social dimension of the whole historic system.
Through its multidisciplinary approach ANTIGONE aims at provide: new knowledge on the historical mechanisms underlying the abandonment of mountain and, more broadly, rural areas, as a key to understanding marginalisation; new knowledge on landscapes, practices and their features; a new methodological toolbox for interdisciplinary investigations driven by archaeology; a new role for archaeology, beyond the acknowledged one as a heritage science; new contributions to community based policies for local sustainable development and landscape management.
Summary
The main aim of the ANTIGONE project is to investigate how the disappearance of practices for managing shared environmental resources played a role in the abandonment and political marginalisation of European mountain areas from the 18th c onwards. The legacy of these processes can be seen in population levels in these areas, and in the worsening of their natural and cultural heritage. Current policies – aiming to promote their ‘heritagisation’ – do not seem likely to be more effective, in the long-term, as development interventions than the drive for rationalisation in the 19th c. and modernisation in the 20th c. A new historical perspective is needed which addresses the process of abandonment and marginalisation in its entire complexity. ANTIGONE will analyse the critical period from the 18th to the 21st c. and provide new insights into the links between individuals, communities, central States and landscape, grounded in a new understanding of the relationship between practices, resources and objects.
By means of archaeological, historical, environmental, ethnological analyses, and through the comparison of case studies from European mountain areas, ANTIGONE aims to verify if alleged ‘improvement’ practices involved not just changes in management technique, but also contributed to decline in the sharing of work, time and space, with knock-on effects on the social dimension of the whole historic system.
Through its multidisciplinary approach ANTIGONE aims at provide: new knowledge on the historical mechanisms underlying the abandonment of mountain and, more broadly, rural areas, as a key to understanding marginalisation; new knowledge on landscapes, practices and their features; a new methodological toolbox for interdisciplinary investigations driven by archaeology; a new role for archaeology, beyond the acknowledged one as a heritage science; new contributions to community based policies for local sustainable development and landscape management.
Max ERC Funding
1 498 000 €
Duration
Start date: 2020-11-01, End date: 2025-10-31
Project acronym AQUAMS
Project Analysis of quantum many-body systems
Researcher (PI) Robert Seiringer
Host Institution (HI) INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Country Austria
Call Details Advanced Grant (AdG), PE1, ERC-2015-AdG
Summary The main focus of this project is the mathematical analysis of many-body quantum systems, in particular, interacting quantum gases at low temperature. The recent experimental advances in studying ultra-cold atomic gases have led to renewed interest in these systems. They display a rich variety of quantum phenomena, including, e.g., Bose–Einstein condensation and superfluidity, which makes them interesting both from a physical and a mathematical point of view.
The goal of this project is the development of new mathematical tools for dealing with complex problems in many-body quantum systems. New mathematical methods lead to different points of view and thus increase our understanding of physical systems. From the point of view of mathematical physics, there has been significant progress in the last few years in understanding the interesting phenomena occurring in quantum gases, and the goal of this project is to investigate some of the key issues that remain unsolved. Due to the complex nature of the problems, new mathematical ideas
and methods will have to be developed for this purpose. One of the main question addressed in this proposal is the validity of the Bogoliubov approximation for the excitation spectrum of many-body quantum systems. While its accuracy has been
successfully shown for the ground state energy of various models, its predictions concerning the excitation spectrum have so far only been verified in the Hartree limit, an extreme form of a mean-field limit where the interaction among the particles is very weak and ranges over the whole system. The central part of this project is concerned with the extension of these results to the case of short-range interactions. Apart from being mathematically much more challenging, the short-range case is the
one most relevant for the description of actual physical systems. Hence progress along these lines can be expected to yield valuable insight into the complex behavior of these many-body quantum systems.
Summary
The main focus of this project is the mathematical analysis of many-body quantum systems, in particular, interacting quantum gases at low temperature. The recent experimental advances in studying ultra-cold atomic gases have led to renewed interest in these systems. They display a rich variety of quantum phenomena, including, e.g., Bose–Einstein condensation and superfluidity, which makes them interesting both from a physical and a mathematical point of view.
The goal of this project is the development of new mathematical tools for dealing with complex problems in many-body quantum systems. New mathematical methods lead to different points of view and thus increase our understanding of physical systems. From the point of view of mathematical physics, there has been significant progress in the last few years in understanding the interesting phenomena occurring in quantum gases, and the goal of this project is to investigate some of the key issues that remain unsolved. Due to the complex nature of the problems, new mathematical ideas
and methods will have to be developed for this purpose. One of the main question addressed in this proposal is the validity of the Bogoliubov approximation for the excitation spectrum of many-body quantum systems. While its accuracy has been
successfully shown for the ground state energy of various models, its predictions concerning the excitation spectrum have so far only been verified in the Hartree limit, an extreme form of a mean-field limit where the interaction among the particles is very weak and ranges over the whole system. The central part of this project is concerned with the extension of these results to the case of short-range interactions. Apart from being mathematically much more challenging, the short-range case is the
one most relevant for the description of actual physical systems. Hence progress along these lines can be expected to yield valuable insight into the complex behavior of these many-body quantum systems.
Max ERC Funding
1 497 755 €
Duration
Start date: 2016-10-01, End date: 2022-03-31
Project acronym ARIPHYHIMO
Project Arithmetic and physics of Higgs moduli spaces
Researcher (PI) Tamas Hausel
Host Institution (HI) INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Country Austria
Call Details Advanced Grant (AdG), PE1, ERC-2012-ADG_20120216
Summary The proposal studies problems concerning the geometry and topology of moduli spaces of Higgs bundles on a Riemann surface motivated by parallel considerations in number theory and mathematical physics. In this way the proposal bridges various duality theories in string theory with the Langlands program in number theory.
The heart of the proposal is a circle of precise conjectures relating to the topology of the moduli space of Higgs bundles. The formulation and motivations of the conjectures make direct contact with the Langlands program in number theory, various duality conjectures in string theory, algebraic combinatorics, knot theory and low dimensional topology and representation theory of quivers, finite groups and algebras of Lie type and Cherednik algebras.
Summary
The proposal studies problems concerning the geometry and topology of moduli spaces of Higgs bundles on a Riemann surface motivated by parallel considerations in number theory and mathematical physics. In this way the proposal bridges various duality theories in string theory with the Langlands program in number theory.
The heart of the proposal is a circle of precise conjectures relating to the topology of the moduli space of Higgs bundles. The formulation and motivations of the conjectures make direct contact with the Langlands program in number theory, various duality conjectures in string theory, algebraic combinatorics, knot theory and low dimensional topology and representation theory of quivers, finite groups and algebras of Lie type and Cherednik algebras.
Max ERC Funding
1 304 945 €
Duration
Start date: 2013-04-01, End date: 2018-08-31
Project acronym ArmEn
Project Armenia Entangled: Connectivity and Cultural Encounters in Medieval Eurasia
Researcher (PI) Zaroui POGOSSIAN
Host Institution (HI) UNIVERSITA DEGLI STUDI DI FIRENZE
Country Italy
Call Details Consolidator Grant (CoG), SH6, ERC-2019-COG
Summary ArmEn seeks to establish a new framework for studying the southern Caucasus, eastern Anatolia and northern Mesopotamia (CAM) as a space of cultural entanglements between the 9th to 14th centuries. It argues that this region is key to understanding the history of medieval Eurasia but has so far been completely neglected by the burgeoning field of Global Middle Ages. The CAM was on the crossroads of expanding Eurasian empires and population movements, but was removed from major hubs of power. Poly-centrism; political, ethno-linguistic, and religious heterogeneity; frequently shifting hegemonic hierarchies were key aspects of its, nevertheless, inter-connected landscape. This fluidity and complexity left its mark on the cultural products – textual and material – created in the CAM. ArmEn aims to trace shared features in the multi-lingual textual and artistic production of CAM and correlate them to the circulation of ideas and concepts, as well as to real-life interactions, between multiple groups, identifying the locations and agents of entanglements. The large but under-utilised body of Armenian sources to be explored together with those in Arabic, Georgian, Greek, Persian, Syriac, and Turkish, will illuminate cultural entanglements between Muslim and Christian Arabs, Byzantines, Syriac Christians, Georgians, Caucasian Albanians, Turko-Muslim dynasties, Kurds, Iranians, Western Europeans, and Mongols, that inhabited, conquered, or passed through and produced cultural goods in CAM. Evidence from manuscript illuminations and numismatics will provide a material cultural dimension to the analysis. ArmEn will create a trans-cultural vision of the CAM, bridging area studies into a unifying framework, bringing together various disciplinary approaches (philology, literary criticism, religious studies, art history, numismatics, etc.), to build a narrative synthesis in which the dynamics of cross-cultural entanglements in the CAM emerge in their spatial and temporal dimensions.
Summary
ArmEn seeks to establish a new framework for studying the southern Caucasus, eastern Anatolia and northern Mesopotamia (CAM) as a space of cultural entanglements between the 9th to 14th centuries. It argues that this region is key to understanding the history of medieval Eurasia but has so far been completely neglected by the burgeoning field of Global Middle Ages. The CAM was on the crossroads of expanding Eurasian empires and population movements, but was removed from major hubs of power. Poly-centrism; political, ethno-linguistic, and religious heterogeneity; frequently shifting hegemonic hierarchies were key aspects of its, nevertheless, inter-connected landscape. This fluidity and complexity left its mark on the cultural products – textual and material – created in the CAM. ArmEn aims to trace shared features in the multi-lingual textual and artistic production of CAM and correlate them to the circulation of ideas and concepts, as well as to real-life interactions, between multiple groups, identifying the locations and agents of entanglements. The large but under-utilised body of Armenian sources to be explored together with those in Arabic, Georgian, Greek, Persian, Syriac, and Turkish, will illuminate cultural entanglements between Muslim and Christian Arabs, Byzantines, Syriac Christians, Georgians, Caucasian Albanians, Turko-Muslim dynasties, Kurds, Iranians, Western Europeans, and Mongols, that inhabited, conquered, or passed through and produced cultural goods in CAM. Evidence from manuscript illuminations and numismatics will provide a material cultural dimension to the analysis. ArmEn will create a trans-cultural vision of the CAM, bridging area studies into a unifying framework, bringing together various disciplinary approaches (philology, literary criticism, religious studies, art history, numismatics, etc.), to build a narrative synthesis in which the dynamics of cross-cultural entanglements in the CAM emerge in their spatial and temporal dimensions.
Max ERC Funding
1 999 994 €
Duration
Start date: 2020-10-01, End date: 2025-09-30
Project acronym AROMA-CFD
Project Advanced Reduced Order Methods with Applications in Computational Fluid Dynamics
Researcher (PI) Gianluigi Rozza
Host Institution (HI) SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
Country Italy
Call Details Consolidator Grant (CoG), PE1, ERC-2015-CoG
Summary The aim of AROMA-CFD is to create a team of scientists at SISSA for the development of Advanced Reduced Order Modelling techniques with a focus in Computational Fluid Dynamics (CFD), in order to face and overcome many current limitations of the state of the art and improve the capabilities of reduced order methodologies for more demanding applications in industrial, medical and applied sciences contexts. AROMA-CFD deals with strong methodological developments in numerical analysis, with a special emphasis on mathematical modelling and extensive exploitation of computational science and engineering. Several tasks have been identified to tackle important problems and open questions in reduced order modelling: study of bifurcations and instabilities in flows, increasing Reynolds number and guaranteeing stability, moving towards turbulent flows, considering complex geometrical parametrizations of shapes as computational domains into extended networks. A reduced computational and geometrical framework will be developed for nonlinear inverse problems, focusing on optimal flow control, shape optimization and uncertainty quantification. Further, all the advanced developments in reduced order modelling for CFD will be delivered for applications in multiphysics, such as fluid-structure interaction problems and general coupled phenomena involving inviscid, viscous and thermal flows, solids and porous media. The advanced developed framework within AROMA-CFD will provide attractive capabilities for several industrial and medical applications (e.g. aeronautical, mechanical, naval, off-shore, wind, sport, biomedical engineering, and cardiovascular surgery as well), combining high performance computing (in dedicated supercomputing centers) and advanced reduced order modelling (in common devices) to guarantee real time computing and visualization. A new open source software library for AROMA-CFD will be created: ITHACA, In real Time Highly Advanced Computational Applications.
Summary
The aim of AROMA-CFD is to create a team of scientists at SISSA for the development of Advanced Reduced Order Modelling techniques with a focus in Computational Fluid Dynamics (CFD), in order to face and overcome many current limitations of the state of the art and improve the capabilities of reduced order methodologies for more demanding applications in industrial, medical and applied sciences contexts. AROMA-CFD deals with strong methodological developments in numerical analysis, with a special emphasis on mathematical modelling and extensive exploitation of computational science and engineering. Several tasks have been identified to tackle important problems and open questions in reduced order modelling: study of bifurcations and instabilities in flows, increasing Reynolds number and guaranteeing stability, moving towards turbulent flows, considering complex geometrical parametrizations of shapes as computational domains into extended networks. A reduced computational and geometrical framework will be developed for nonlinear inverse problems, focusing on optimal flow control, shape optimization and uncertainty quantification. Further, all the advanced developments in reduced order modelling for CFD will be delivered for applications in multiphysics, such as fluid-structure interaction problems and general coupled phenomena involving inviscid, viscous and thermal flows, solids and porous media. The advanced developed framework within AROMA-CFD will provide attractive capabilities for several industrial and medical applications (e.g. aeronautical, mechanical, naval, off-shore, wind, sport, biomedical engineering, and cardiovascular surgery as well), combining high performance computing (in dedicated supercomputing centers) and advanced reduced order modelling (in common devices) to guarantee real time computing and visualization. A new open source software library for AROMA-CFD will be created: ITHACA, In real Time Highly Advanced Computational Applications.
Max ERC Funding
1 656 579 €
Duration
Start date: 2016-05-01, End date: 2021-10-31
