Jorge Cely : Introduction to motivic integration and applications

Posted by Sherwood Hachtman , part of the Logic Seminar.

At

April 12, 2016, 4 p.m.

In

SEO 427

Abstract

This talk will be divided in two parts. In the first part, I will introduce Cluckers-Loeser theory of motivic integration, stressing the role of the model theory of valued fields in the Denef-Pas language. I will talk about transfer principles (in the style of Ax-Kochen). Then, in the second part, I will discuss the definability (in the Denef-Pas language) of some objects in harmonic analysis of p-adic groups. I will not have time to talk about the fundamental lemma with some detail, nevertheless, I will mention it and roughly I will explain how to put it in the framework of motivic integration.