Objectif
Singularity theory is an intensively developing branch of modern mathematics which has fruitful interactions with many other fields of mathematics as well as applications in a number of sciences. The idea of singularity goes back to mathematicians of the 19th century - Riemann, Weierstrass and others - who found that the most important properties of mathematical objects can, as a rule, be explained by the properties of their exceptional points. Singularity theory studies singular points of analytic, algebraic, and geometric objects: spaces, functions, maps, vector fields.
The aim of the project is to combine the possibilities within the NIS and Western European groups for researches in the field of singularity theory and to develop their co-operation on this base. NIS groups include mathematicians from Moscow and its region and from Georgia, who are working mainly in the framework of the school of V. Arnold.
The main problems of singularity theory which the project will cover are the topological and differential geometrical study of singularities, stratifications of functional spaces and invariants of geometric objects (including knots), symplectic singularities, symplectic topology, Newton polygons and invariants of singularities, deformations of singularities, mixed Hodge structures, fundamental groups of complements of complex hypersurfaces, and non-isolated singularities. In all these problems the knowledge and the experience of NIS and Western European mathematicians complement each other.
Thème(s)
Appel à propositions
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3508 TA Utrecht
Pays-Bas