Objective 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. Programme(s) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Topic(s) 21 - Mathematics Call for proposal Data not available Funding Scheme Data not available Coordinator Rijksuniversiteit Utrecht EU contribution No data Address Budapestlaan 6 3508 TA Utrecht Netherlands See on map Total cost No data Participants (7) Sort alphabetically Sort by EU Contribution Expand all Collapse all Aarhus Universitet Denmark EU contribution No data Address 8000 Aarhus See on map Total cost No data Academy of Sciences of Georgia Georgia EU contribution No data Address 380093 Tbilisi See on map Total cost No data Independent University of Moscow Russia EU contribution No data Address 121108 Moscow See on map Total cost No data Moscow State Aviation Institute Russia EU contribution No data Address 125871 Moscow See on map Total cost No data Moscow State University of Transport Communications Russia EU contribution No data Address 101475 Moscow See on map Total cost No data University of Liverpool United Kingdom EU contribution No data Address Merseyside L69 3BX Liverpool See on map Total cost No data Universität Kaiserslautern Germany EU contribution No data Address 67663 Kaiserslautern See on map Total cost No data
