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Branching laws and period integrals for non-tempered representations.

Automorphic forms, Shimura varieties, Galois representations and L-functions December 01, 2014 - December 05, 2014

December 03, 2014 (12:00 PM PST - 01:00 PM PST)
Speaker(s): Dipendra Prasad (Tata Institute of Fundamental Research)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14115

Abstract

Questions about decomposition of representations of groups over local fields to subgroups, such as from SO(n) to SO(n-1), has been of  considerable interest in the recent past with impressive works of Waldspurger, Moeglin-Waldspurger, and Raphael Beuzart-Plessis. Corresponding global question for unitary groups has been partly settled by Wei Zhang. 

These questions have so far been considered only for tempered representations (of the group and the subgroup). In this lecture, I will discuss the situation with non-tempered representations.  This is a report on work done with B. Gross and Wee Teck Gan.
 

Supplements
22428?type=thumb Notes Prasad 1.49 MB application/pdf Download
Video/Audio Files

14115

H.264 Video 14115.mp4 290 MB video/mp4 rtsp://videos.msri.org/data/000/022/327/original/14115.mp4 Download
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