Can p-adic integrals be computed?

Abstract

This article gives an introduction to arithmetic motivic integration in the context of p-adic integrals that arise in representation theory. A special case of the fundamental lemma is interpreted as an identity of Chow motives.

11 pages, 2 figures, based on a lecture at IAS on April 6, 2001 (also at http://www.math.ias.edu/amf/), to appear in a volume "Contributions to Automorphic Forms, Geometry and Arithmetic" dedicated to J. Shalika and published by Johns Hopkins University Press. This article has been granted to the public domain. No rights are reserved by the author