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An old problem in geometry and topology is the computation of topological and analytical invariants of complex hypersurfaces, e.g. Betti numbers, Euler characteristic, signature, Hodge-Deligne numbers, etc. While the non-singular case is easier to deal with, the singular setting requires a subtle analysis of the intricate relation between the local and global topological and/or analytical structure of singularities. In this talk I will explain how to compute characteristic classes of complex hypersurfaces in terms of local invariants of singularities. This is joint work with S. Cappell, J. Schürmann and J. Shaneson.
Hinweis: Comment: Es findet eine Einführung in einige im Vortrag genutzte Begriffe statt: Montag, 12.07.2010, 10:00 Uhr, INF 288 HS4.
Donnerstag, den 15. Juli 2010 um 14:00 Uhr, in INF 288, HS 5 Donnerstag, den 15. Juli 2010 at 14:00, in INF 288, HS 5