# Mathematical Sciences Research Institute

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

# 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