Community Research and Development Information Service - CORDIS

Horizon 2020 project information and now also report summaries are available on CORDIS. All H2020 projects can be downloaded from the EU Open Data Portal .

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Results 1 - 10 of 1145
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The Elementary Theory of Partially Commutative Groups
ID: 336983
Start date: 2014-09-01, End date: 2019-08-31
"The solution of Tarski's problems on the first-order theory of free groups has uncovered deep connections between Model Theory, Geometry and Group Theory and served as a nexus and motivation for many classical results in Geometric Group Theory and Theoretical Computer Scienc...
Programme: FP7-IDEAS-ERC
Record Number: 185384
Last updated on: 2015-03-11
Periodic Report Summary 2 - PCG (The Elementary Theory of Partially Commutative Groups)
Hilbert’s 10th problem asks if there exists an algorithm to decide whether or not an equation with integer coefficients has an integer solution. This type of problems can be posed for arbitrary structures (rings, groups etc.) and in a more general setting from the viewpoint...
Programme: FP7-IDEAS-ERC
Record Number: 199501
Last updated on: 2017-06-21
Symplectic topology and its interactions: from dynamics to quantization
ID: 338809
Start date: 2013-10-01, End date: 2019-09-30
"The proposed research belongs to symplectic topology, a rapidly developing field of mathematics which originally appeared as a geometric tool for problems of classical mechanics. Since the 1980ies, new powerful methods such as theory of pseudo-holomorphic curves, Morse-Floer...
Programme: FP7-IDEAS-ERC
Record Number: 110332
Last updated on: 2017-06-21
Mid-Term Report Summary - SYMPTOPODYNQUANT (Symplectic topology and its interactions: from dynamics to quantization)
The project addresses a number of challenges in Symplectic Topology, a rapidly developing mathematical discipline providing basic tools for modeling a variety of fundamental physical processes. We advanced our understanding of the quantum-classical correspondence and explored...
Programme: FP7-IDEAS-ERC
Record Number: 183459
Last updated on: 2016-06-16
Chaos in Parabolic Dynamics: Mixing, Rigidity, Spectra
ID: 335989
Start date: 2014-01-01, End date: 2019-08-31
"The theme of the proposal is the mathematical investigation of chaos (in particular ergodic and spectral properties) in parabolic dynamics, via analytic, geometric and probabilistic techniques. Parabolic dynamical systems are mathematical models of the many phenomena which d...
Programme: FP7-IDEAS-ERC
Record Number: 110032
Last updated on: 2017-06-21
Mid-Term Report Summary - CHAPARDYN (Chaos in Parabolic Dynamics: Mixing, Rigidity, Spectra)
The project main theme is the mathematical investigation of chaos in parabolic dynamics. Parabolic dynamical systems are mathematical models of the many phenomena which display a "slow" form of chaotic evolution behaviour: nearby trajectories diverge, hence making the system...
Programme: FP7-IDEAS-ERC
Record Number: 189120
Last updated on: 2016-09-20
Ergodic Group Theory
[PROJECT] UB12 - Ergodic Group Theory
ID: 306706
Start date: 2012-09-01, End date: 2018-08-31
"The aim of the proposed research is gaining a better understanding of locally compact groups and their lattices. Our tools are mainly ergodic theoretical. We propose a variety of novel ideas that open new horizons for research. The first meta idea is the adoption of tools fr...
Programme: FP7-IDEAS-ERC
Record Number: 104810
Last updated on: 2017-06-21
Mid-Term Report Summary - UB12 (Ergodic Group Theory)
The main achievement we obtained so far, jointly with Alex Furman, is the proving our conjecture regarding algebraic representations of ergodic actions, which is yet unpublished ("Algebraic representations of Ergodic Actions and Super-Rigidity", submitted for publication). In...
Programme: FP7-IDEAS-ERC
Record Number: 179086
Last updated on: 2016-04-27
Positive Scalar Curvature and Lagrangian Mean Curvature Flow
ID: 278940
Start date: 2012-01-01, End date: 2016-12-31
The interplay between Geometry and Analysis has been among the most fruitful mathematical ideas in recent years, the most obvious example being Perelman's proof of Poincare' conjecture. The goal of this proposal is to establish a research group that will make significant prog...
Programme: FP7-IDEAS-ERC
Record Number: 100398
Last updated on: 2016-03-17
Final Report Summary - PSC AND LMCF (Positive Scalar Curvature and Lagrangian Mean Curvature Flow)
The goal of the project was to study minimal surfaces and their interacations with the ambient geometry. We pioneered the use of min-max methods to further explore this connection and in doing so not only we solved several open problems in Geometry but we also developed...
Programme: FP7-IDEAS-ERC
Record Number: 199878
Last updated on: 2017-06-21
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List retrieved on: 2017-06-23