Laurentiu Maxim : Characteristic classes of complex hypersurfaces

Posted by Anatoly S. Libgober , part of the Algebraic Geometry Seminar.

At

Feb. 8, 2010, 2 p.m.

In

SEO 636

Abstract

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. Schuermann and J. Shaneson.