Enlarging motivic constructible functions to exponentials
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.