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Statut Confirmé
Série MATH-IHES
Domaines hep-th
Date Mercredi 12 Décembre 2018
Heure 10:00
Institut IHES
Salle Centre de conférences Marilyn et James Simons
Nom de l'orateur Chenevier
Prenom de l'orateur Gaëtan
Addresse email de l'orateur
Institution de l'orateur CNRS, Université Paris-Sud
Titre A higher weight (and automorphic) generalization of the Hermite-Minkowski theorem
Résumé 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.
Numéro de preprint arXiv
Commentaires Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo
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