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TERMINÉ
Structured Discrete Models as a basis for studies in Geometry, Numerical Analysis, Topology, and Visualization (SDMODELS)
Date du début: 1 juil. 2010, Date de fin: 30 juin 2015,
"Discrete structures appear throughout mathematics not only as approximations to continuous objects, but also as mathematical objects of their own right. The ""right"" discrete models should have analogous theory to the continuous limit, but often more transparent, more interesting structure, it ""tells you more"". The proposed project has the agenda to connect, and make substantial progress in, a ...
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TERMINÉ
Fundamental groups, etale and motivic, local systems, Hodge theory and rational points (RATIONAL POINTS)
Date du début: 1 janv. 2009, Date de fin: 31 déc. 2014,
From the viewpoint of geometric classification, there are two extreme cases of smooth varieties X defined over an algebraically closed field: those which are hyperbolic, and those which are rationally connected. If k is no longer algebraically closed, a central question of Algebraic Arithmetic Geometry is what properties of k force X to have a rational point in those two opposed cases. It is c ...
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