Harmonic analysis on p-adic symmetric spaces

Date: 
2014/11/04 Tue 16:00 - 17:30
Room: 
Room 305, Building No.3
Speaker: 
Patrick Delorme
Affiliation: 
University of Marseille
Abstract: 

In this lecture we will review the Plancherel formula that we got by looking to neighborhoods at infinity of the symmetric spaces and then using the method of Sakellaridis-Venkatesh for spherical varieties for a split group. For us the group is not necessarily split.
We will try to present in the last part a joint work with Pascale Harinck and Yiannis Sakellaridis in which we prove Paley-Wiener theorems for symmetric spaces.