Jorge Cely will speak about the fundamental lemma for spherical Hecke algebras and motivic integration.
 

Abstract:

The fundamental lemma was formulated by Langlands and it is about some identities of integrals related with the Arthur-Selberg trace formula. In the first part of the talk I will give an introduction (and motivation) to the fundamental lemma. Then I will explain the main ideas in our proof of the Langlands-Shelstad fundamental lemma for the spherical Hecke algebra for unramified p-adic reductive groups in large positive characteristic. The proof is based on the transfer principle for constructible motivic functions. This is joint work with W. Casselman and T. Hales.