An Isaac Newton Institute Programme

Model Theory and Applications to Algebra and Analysis

Enlarging motivic constructible functions to exponentials

23rd March 2005

Author: Loeser, F (Paris ENS)

Abstract

I shall present recent work with Raf Cluckers about adding exponential functions to constructible motivic functions. We show this enlarged class of functions is stable under integration and develop a Fourier transformation in this setting. We shall end the talk by stating a version of the Ax-Kochen-Ersov Theorem for these functions.