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Enlarging motivic constructible functions to exponentials

Loeser, F (Paris ENS)
Wednesday 23 March 2005, 11:00-12:30

Seminar Room 2, Newton Institute Gatehouse


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.

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