Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Benoît Stroh
Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr
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Description

Orateur(s) Ito TETSUSHI - Kyoto University - IHES,
Titre Hasse invariants and the l-adic cohomology of unitary Shimura varieties.
Date08/11/2007
Horaire14:00 à 15:00
Diffusion
RésumeThe classical Hasse invariant is a modular form of weight p-1 in characteristic p which has a simple zero at each supersingular point. In this talk, we will discuss how to generalize the Hasse invariant to unitary Shimura varieties with signature (1,n-1) using the idea of Ekedahl-Oort stratification. We will also discuss an application to the l-adic cohomology of unitary Shimura varieties with bad reduction (Iwahori level structure) using integral models of Harris-Taylor-Yoshida and the weight spectral sequence of Rapoport-Zink.
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