An Analytic Grothendieck Riemann Roch Theorem

Xiang Tang  (Washington University in St. Louis)

14:00 pm to 15:00 am, May 22nd, 2014   Science Building A1510

Abstract:

In this talk, we will introduce an extension of the Boutet de Monvel Toeplitz index theorem to complex manifold with isolated singularities following the relative $K$-homology theory of Baum, Douglas, and Taylor for manifold with boundary. As an application, we will use this index theorem to study the Arveson-Douglas conjecture.

This is joint work with R. Douglas and G. Yu.