Status | Confirmed |
Seminar Series | MATH-IHES |
Subjects | hep-th |
Date | Wednesday 6 June 2018 |
Time | 10:30 |
Institute | IHES |
Seminar Room | Centre de conférences Marilyn et James Simons |
Speaker's Last Name | Templier |
Speaker's First Name | Nicolas |
Speaker's Email Address | |
Speaker's Institution | Cornell University |
Title | On the Ramanujan conjecture for automorphic forms over function fields |
Abstract | 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. |
arXiv Preprint Number | |
Comments | Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo |
Attachments |
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