Algebraic Geometry Seminar
Laurentiu Maxim
Univeristy of Wisconsin (Madison)
Characteristic classes of complex hypersurfaces
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.
Monday February 8, 2010 at 2:00 PM in SEO 636