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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Final Report Summary - DLGAPS (Dynamics of Lie group actions on parameter spaces)
New results have been obtained which further our understanding of translation surfaces (including illumination problems) and dynamics on them, and diophantine approximation on fractals. The proofs of these results involve the study of dynamics of Lie group actions on parameter...
Programme: FP7-IDEAS-ERC
Record Number: 229030
Last updated on: 2018-05-11
Final Report Summary - RIGIDITY (Rigidity: Groups, Geometry and Cohomology)
The project "Rigidity" has led to new discoveries in pure mathematics. In particular, new paradoxical decompositions have been discovered, and others have been rules out. Paradoxical decompositions are a form of surprising "miraculous" duplication of objects which occur in...
Programme: FP7-IDEAS-ERC
Record Number: 229032
Last updated on: 2018-05-11
Final Report Summary - STACKSRTFPERIODS (Stacks in Representation Theory, Relative Trace Formula and analysis of  Automorphic Periods)
ERC project. Stacks in Representation Theory, Relative Trace Formula and analysis of Automorphic Periods. In the original proposal Bernstein suggested a method to establish convexity and subconvexity bounds for several kinds of automorphic periods. The main idea was that...
Programme: FP7-IDEAS-ERC
Record Number: 226764
Last updated on: 2018-05-02
Final Report Summary - FANTAST (Frontiers of Analytic Number Theory And Selected Topics)
Diophantine equations are systems of polynomial equations with rational coefficients. Even very simple equations can mask a rich arithmetic structure that can be very difficult to penetrate. Nonetheless a suitable blend of analytic and algebro-geometric tools can sometimes be...
Programme: FP7-IDEAS-ERC
Record Number: 226686
Last updated on: 2018-05-02
Final Report Summary - NONARCOMP (From complex to non-archimedean geometry)
The main aim of the project was to bring together two seemingly different geometries, namely the classical study of complex analytic varieties and its non-Archimedean analog, that is the study of analytic varieties defined over fields endowed with a norm satisfying the strong...
Programme: FP7-IDEAS-ERC
Record Number: 226668
Last updated on: 2018-05-02
Final Report Summary - NCGQG (Noncommutative geometry and quantum groups)
The goal of the project was to make fundamental contributions to the study of the q-deformations of compact Lie groups and their homogeneous spaces in the operator algebraic setting and to theory of quantum random walks. The following are the main outcomes of the project...
Programme: FP7-IDEAS-ERC
Record Number: 226667
Last updated on: 2018-05-02
Final Report Summary - HDSPCONTR (High-Dimensional Sparse Optimal Control)
Our research work focused on a novel mathematical field, i.e., the sparse control and the automatic learning of multi-agent dynamical systems and their mean-field approximations, modeling both social and economical scenarios. The main questions addressed in our work are: 1...
Programme: FP7-IDEAS-ERC
Record Number: 222928
Last updated on: 2018-03-23
The SPARCCLE project focussed on the design, analysis and efficient implementation on state of the art massively parallel high performance computing architectures, of numerical algorithms for simulating solutions of systems of conservation laws and related equations. These...
Programme: FP7-IDEAS-ERC
Record Number: 223078
Last updated on: 2018-03-23
Final Report Summary - AF AND MSOGR (Automorphic Forms and Moduli Spaces of Galois Representations)
This main achievement of this project has been in establishing many new cases of a 70 year old conjecture of Hasse, on the meromorphic continuation of Hasse--Weil zeta functions. These are analogues of the Riemann zeta function, whose origin is geometric: they are associated...
Programme: FP7-IDEAS-ERC
Record Number: 222315
Last updated on: 2018-03-23
Final Report Summary - INVPROBGEOMPDE (Inverse Problems in Partial Differential Equations and Geometry)
Inverse problems research concentrates on the mathematical theory and practical interpretation of indirect measurements. Applications are found in virtually every research field involving scientific, medical, or industrial imaging and mathematical modelling. Familiar examples...
Programme: FP7-IDEAS-ERC
Record Number: 223000
Last updated on: 2018-03-23
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List retrieved on: 2018-06-18
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