# Mathematics Department Colloquium Spring 2005

 Date: Thursday, January 27 Time: 4:00 p.m. Location: 215 Thomas Building Name: David Kazhdan Affiliation: The Hebrew University of Jerusalem Title: Integration over non-archimedian fields Abstract: kazhdan-abstract Let be a non-trivial additive character. Given a polynomial we can define the Fourier transform of the function as a distribution on . In the first part of the talk I'll explain how to see that the existence of a proper algebraic subset such that the restriction of is given by a locally constant function. If time allows I'll try to explain how to define the notion of integration over non-locally compact fields such as .