Thursday, April 3, 2014
3:00 pm

Number Theory Seminar

On level 1 algebraic cusp forms of classical groups
Gaetan Chenevier, Professor, Mathematics, École Polytechnique

I will talk about cuspidal automorphic representations of
GL(n) over Q which are unramified at all finite places, self-dual up to
twist, and algebraic regular. I will explain how to count the number of
those representations as a function of their weights -- or archimedean
component -- for all n<9 (in a weak sense when n=7). In particular, this
gives explicit conjectural formulas for the number of polarized regular
pure motives over Q with good reduction everywhere, of any rank n as
above, and of arbitrary given real Hodge structure. (Joint with D.

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