Status | Confirmed |
Seminar Series | MATH-IHES |
Subjects | hep-th |
Date | Wednesday 12 December 2018 |
Time | 10:00 |
Institute | IHES |
Seminar Room | Centre de conférences Marilyn et James Simons |
Speaker's Last Name | Chenevier |
Speaker's First Name | Gaëtan |
Speaker's Email Address | |
Speaker's Institution | CNRS, Université Paris-Sud |
Title | A higher weight (and automorphic) generalization of the Hermite-Minkowski theorem |
Abstract | I will show that for any integer N, there are only finitely many cuspidal algebraic automorphic representations of GL_m over Q whose Artin conductor is N and whose "weights" are in the interval {0,...,23} (with m varying). Via the conjectural yoga between geometric Galois representations (or motives) and algebraic automorphic forms, this statement may be viewed as a generalization of the classical Hermite-Minkowski theorem in algebraic number theory. I will also discuss variants of these results when the base field Q is replaced by an arbitrary number field. |
arXiv Preprint Number | |
Comments | Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo |
Attachments |
To Generate a poster for this seminar : [ Postscript | PDF ]
|
[ English version ] |