Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

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

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