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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 6 Juin 2018 |
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Heure |
10:30 |
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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 |
Templier |
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Prenom de l'orateur |
Nicolas |
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Addresse email de l'orateur |
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Institution de l'orateur |
Cornell University |
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Titre |
On the Ramanujan conjecture for automorphic forms over function fields |
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Résumé |
Let G be a reductive group over a function field of large enough characteristic. We prove the temperedness at unramified places of automorphic representations of G, subject to a local assumption at one place, stronger than supercuspidality. Such an assumption is necessary, as was first shown by Saito-Kurokawa and Howe-Piatetskii-Shapiro in the 70's. Our method relies on the l-adic geometry of Bun_G, and on trace formulas. Work with Will Sawin. |
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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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