Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Francesco Lemma
Email des responsables : alexis.bouthier@imj-prg.fr, francesco.lemma(at)imj-prg.fr
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Description
Orateur(s) Naoki Imai - Université de Tokyo,
Titre Affinoids in the Lubin-Tate perfectoid space and simple epipelagic representations
Date06/07/2015
Horaire10:30 à 12:00
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Résume
We construct a family of affinoids in the Lubin-Tate perfectoid space and their formal models such that the middle cohomology of the reductions of the formal models realizes the local Langlands correspondence and the local Jacquet-Langlands correspondence for representations of exponential Swan conductor one, which we call the simple epipelagic representations. We discuss also a relation between these affinoids and CM points. This is a joint work with Takahiro Tsushima.
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