Analytic Grothendieck Riemann Roch Theorem and More
March 26-27, 2019
W303 School of Mathematics, Sichuan University
Xiang Tang (Washington University in St. Louis)
Class I: Analytic Grothendieck Riemann Roch Theorem
In this talk, we will introduce an interesting index problem naturally associated to the Arveson-Douglas conjecture in functional analysis. This index problem is a generalization of the classical Toeplitz index theorem, and connects to many different branches of Mathematics. In particular, it can be viewed as an analytic version of the Grothendieck Riemann Roch theorem. This is joint work with R. Douglas，M. Jabbari, and G. Yu.
Class II: Hochschild Homology of Proper Lie Groupoids
Hochschild homology provides the algebraic model for differential forms. In this talk, we will report our recent study of Hochschild homology of proper Lie groupoids. This is joint work with M. Pflaum, and H. Posthuma.