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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Analytic Number Theory: Higher Order Structures
ID: 258713
Start date: 2010-10-01, End date: 2015-09-30
This is a proposal for research at the interface of analytic number theory, automorphic forms and algebraic geometry. Motivated by fundamental conjectures in number theory, classical problems will be investigated in higher order situations: general number fields, automorphic ...
Programme: FP7-IDEAS-ERC
Record Number: 95197
Last updated on: 2017-05-29
Real uniruled manifolds
[PROJECT] REALUMAN - Real uniruled manifolds
ID: 258204
Start date: 2010-12-01, End date: 2015-11-30
The following list of questions describe the four main directions which I want to develop. 1) Topology of real uniruled manifolds. May the connected sum of two closed hyperbolic manifolds of dimension at least three be Lagrangian embedded in a uniruled symplectic manifold? Be...
Programme: FP7-IDEAS-ERC
Record Number: 96799
Last updated on: 2017-05-29
SL(2,R)-action on flat surfaces and geometry of extremal subvarieties of moduli spaces
ID: 257137
Start date: 2010-10-01, End date: 2015-09-30
Dynamics on polygonal billiard tables is best understood by unfolding the table and studying the resulting flat surface. The moduli space of flat surfaces carries a natural action of SL(2,R) and all the questions about Lie group actions on homogeneous spaces reappear in this ...
Programme: FP7-IDEAS-ERC
Record Number: 95126
Last updated on: 2017-05-29
Hochschild cohomology, non-commutative deformations and mirror symmetry
ID: 257004
Start date: 2010-10-01, End date: 2016-09-30
"Our research programme addresses several interesting current issues in non-commutative algebraic geometry, and important links with symplectic geometry and algebraic topology. Non-commutative algebraic geometry is concerned with the study of algebraic objects in geometric wa...
Programme: FP7-IDEAS-ERC
Record Number: 95174
Last updated on: 2017-05-29
Noncommutative Calderón-Zygmund theory, operator space geometry and quantum probability
ID: 256997
Start date: 2010-10-01, End date: 2015-09-30
Von Neumann's concept of quantization goes back to the foundations of quantum mechanics and provides a noncommutative model of integration. Over the years, von Neumann algebras have shown a profound structure and set the right framework for quantizing portions of algebra, ana...
Programme: FP7-IDEAS-ERC
Record Number: 94902
Last updated on: 2017-05-29
Semidefinite Programming with Applications in Statistical Learning
ID: 256919
Start date: 2011-05-01, End date: 2016-04-30
Interior point algorithms and a dramatic growth in computing power have revolutionized optimization in the last two decades. Highly nonlinear problems which were previously thought intractable are now routinely solved at reasonable scales. Semidefinite programs (i.e. linear p...
Programme: FP7-IDEAS-ERC
Record Number: 97794
Last updated on: 2017-05-29
Traffic Management by Macroscopic Models
ID: 257661
Start date: 2010-10-01, End date: 2016-03-31
We propose to investigate traffic phenomena from the macroscopic point of view, using models derived from fluid-dynamics consisting in hyperbolic conservation laws. In fact, even if the continuum hypothesis is clearly not physically satisfied, macroscopic quantities can be re...
Programme: FP7-IDEAS-ERC
Record Number: 95809
Last updated on: 2017-05-29
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
New Methods in Non Archimedean Geometry
ID: 246903
Start date: 2010-03-01, End date: 2015-02-28
During the last decade, spectacular achievments have been completed in Algebraic and Arithmetic Geometry and in Representation Theory by using powerful new tools provided by Motivic Integration and Berkovich spaces. We propose to develop a general framework for geometry over ...
Programme: FP7-IDEAS-ERC
Record Number: 93882
Last updated on: 2017-05-29
Operator Algebras, Free Probability, and Groups
ID: 247321
Start date: 2010-01-01, End date: 2014-12-31
Starting with Voiculescu's pioneering work on free probability from 1983, there has for more than 25 years been a strong development in mathematical research on the interrelations between operator algebra theory, probability theory and group theory. The PI has over the l...
Programme: FP7-IDEAS-ERC
Record Number: 93476
Last updated on: 2017-05-29
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