Home /  NGM Research Seminar: Paley-Wiener theorems for p-adic spherical varieties.

Seminar

NGM Research Seminar: Paley-Wiener theorems for p-adic spherical varieties. October 16, 2014 (02:00 PM PDT - 02:50 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium
Speaker(s) Yiannis Sakellaridis (Rutgers University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

For a reductive p-adic group H, the description of the Bernstein center of the category of smooth H-representations is equivalent to the description of H x H -endomorphisms of the space of smooth, compactly supported functions on H, and the Bernstein decomposition corresponds to an H x H-equivariant decomposition of this space. The goal of this talk is to generalize this decomposition when H is replaced by a spherical variety X satisfying some strong assumptions (which cover all symmetric cases). In parallel, we will discuss the spectral transform of the space of Harish-Chandra Schwartz functions on X, generalizing Harish-Chandra's description for X=H. This is joint work with Patrick Delorme and Pascale Harinck.

No Notes/Supplements Uploaded No Video Files Uploaded