Laurentiu Maxim : Generalizations of the Chern-Hirzebruch-Serre formula in complex algebraic geometry

Posted by , part of the Algebraic Geometry Seminar.

At

Oct. 4, 2007, 4:30 p.m.

In

SEO 636

Abstract

The Chern-Hirzebruch-Serre signature theorem asserts that in the category of closed oriented manifolds the topological signature is multiplicative in fibrations with trivial monodromy action. In this talk I will survey various extensions of this result to the singular setting, including the so-called ``stratified multiplicative property'' for Hodge invariants of complex algebraic varieties. This is joint work with S. Cappell, A. Libgober and J. Shaneson.