On conductor 1 algebraic automorphic representations of GL(n) over Q, and applications
Gaetan Chenevier (CNRS)
MSRI: Simons Auditorium
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.