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On conductor 1 algebraic automorphic representations of GL(n) over Q, and applications

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

December 05, 2014 (10:30 AM PST - 11:30 AM PST)
Speaker(s): Gaetan Chenevier (Centre National de la Recherche Scientifique (CNRS))
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14121

Abstract

In this talk, I will present some results concerning the classification of the cuspidal automorphic representations of GL(n) over Q whose archimedean component is `` algebraic ‘’ and whose non archimedean components are all unramified.  As an application, I will sketch a proof of the following result : there are exactly 23 Siegel modular cusp forms of weight 12, for the full Siegel modular group, in genus at most 12.

Supplements
22434?type=thumb Notes Chenevier 1.09 MB application/pdf Download
Video/Audio Files

14121

H.264 Video 14121.mp4 327 MB video/mp4 rtsp://videos.msri.org/data/000/022/353/original/14121.mp4 Download
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