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Dynamics on homogeneous spaces, spectra and arithmetic
ID: 267259
Start date: 2011-01-01, End date: 2016-12-31
We consider the dynamics of actions on homogeneous spaces of algebraic groups, We propose to tackle the central open problems in the area, including understanding actions of diagonal groups on homogeneous spaces without an entropy assumption, a related conjecture of Furstenbe...
Programme: FP7-IDEAS-ERC
Record Number: 97217
Last updated on: 2017-12-04
Understanding Random Systems via Algebraic Topology
ID: 320422
Start date: 2013-03-01, End date: 2018-09-30
Over the past decade there has been a significant expansion of activity in applying the techniques and theory of algebraic topology to real world problems. The expression `applied algebraic topology' is no longer an oxymoron! This expansion has generated new mathematical theo...
Programme: FP7-IDEAS-ERC
Record Number: 106970
Last updated on: 2017-07-02
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
Size Matters in Numerical Cognition
ID: 295644
Start date: 2012-09-01, End date: 2018-08-31
Numerical cognition is essential to many aspects of life and arithmetic abilities predict academic achievements better than reading. Acquiring a solid sense of numbers and being able to mentally manipulate numbers are at the heart of this ability. In recent years research has...
Programme: FP7-IDEAS-ERC
Record Number: 104845
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
Independence of Group Elements and Geometric Rigidity
ID: 203418
Start date: 2008-07-01, End date: 2013-12-31
The proposed research contains two main directions in group theory and geometry: Independence of Group Elements and Geometric Rigidity. The first consists of problems related to the existence of free subgroups, uniform and effective ways of producing such, and analogous quest...
Programme: FP7-IDEAS-ERC
Record Number: 87398
Last updated on: 2017-05-30
Langlands correspondence and its variants
ID: 247049
Start date: 2010-01-01, End date: 2014-12-31
Sometimes in the sciences there are different yet complementary descriptions for the same object. This extends to the particle-wave duality of quantum mechanics; one mathematical analog of this duality is the Fourier transform. Questions that are difficult when formulated in ...
Programme: FP7-IDEAS-ERC
Record Number: 93236
Last updated on: 2017-05-29
Expander Graphs in Pure and Applied Mathematics
ID: 226135
Start date: 2008-10-01, End date: 2014-09-30
Expander graphs are finite graphs which play a fundamental role in many areas of computer science such as: communication networks, algorithms and more. Several areas of deep mathematics have been used in order to give explicit constructions of such graphs e.g. Kazhdan propert...
Programme: FP7-IDEAS-ERC
Record Number: 88380
Last updated on: 2017-05-29
Discrete Mathematics: methods, challenges and applications
ID: 226718
Start date: 2008-12-01, End date: 2013-11-30
Discrete Mathematics is a fundamental mathematical discipline as well as an essential component of many mathematical areas, and its study has experienced an impressive growth in recent years. Some of the main reasons for this growth are the broad applications of tools and tec...
Programme: FP7-IDEAS-ERC
Record Number: 88928
Last updated on: 2017-05-29
Asymptotic Geometric Analysis and Learning Theory
ID: 203134
Start date: 2009-03-01, End date: 2014-02-28
In a typical learning problem one tries to approximate an unknown function by a function from a given class using random data, sampled according to an unknown measure. In this project we will be interested in parameters that govern the complexity of a learning problem. It tur...
Programme: FP7-IDEAS-ERC
Record Number: 88242
Last updated on: 2017-05-29
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List retrieved on: 2018-03-20
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