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