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Enlarging motivic constructible functions to exponentials

Presented by: 
F Loeser [Paris ENS]
Date: 
Wednesday 23rd March 2005 - 11:00 to 12:30
Venue: 
INI Seminar Room 2
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.

University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons