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 - GETOM (Geometry and Topology of Open Manifolds)
The starting point of the grant is a question asked, in 1904, by the great french mathematician Henri Poincaré. The question has been answered in 2003 by the russian mathematician Grigori Perelman. It concerns the structure of 3D objects which are closed, that is bounded in...
Programme: FP7-IDEAS-ERC
Record Number: 237947
Last updated on: 2018-07-25
Final Report Summary - GRACOL (Graph Theory: Colourings, flows, and decompositions.)
The GRACOL-research was in mathematics, specifically graph theory, and focused on colorings, flows and decompositions. Graph coloring started with the fundamental 4-color problem from the 19th century and has become important in computer science, engineering sciences, and also...
Programme: FP7-IDEAS-ERC
Record Number: 238061
Last updated on: 2018-07-25
Final Report Summary - DASTCO (Developing and Applying Structural Techniques for Combinatorial Objects)
Graphs are mathematical models of the many real-world networks which surround us such as the network of friendships on social media or the interactions between a collection of proteins in biology. Structural graph theory seeks to identify all the graphs with a given desirable...
Programme: FP7-IDEAS-ERC
Record Number: 231529
Last updated on: 2018-06-20
Final Report Summary - MFMF (Market Frictions in Mathematical Finance)
This project investigates the role of frictions in mathematical models of financial markets. It aims at i) developing new theoretical tools for optimization and equilibrium problems involving frictions, ii) solving such problems as explicitly as possible, seeking...
Programme: FP7-IDEAS-ERC
Record Number: 231398
Last updated on: 2018-06-20
Final Report Summary - ESIG (Creating rigorous mathematical and computational tools that can summarise high dimensional data streams in terms of their effects.)
Newton introduced calculus to model the interactions of systems, and introduced simple examples of controlled differential systems. However, as the number of interacting elements increases the trajectories become “rough” and too complex to model on normal scales using...
Programme: FP7-IDEAS-ERC
Record Number: 231397
Last updated on: 2018-06-20
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
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List retrieved on: 2018-08-21
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