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) Karol KOZIOL - Columbia,
Titre Towards a Langlands correspondence for Hecke modules of $SL_n$ in characteristic $p$
Date10/06/2013
Horaire10:30 à 11:30
Diffusion
RésumeIn this talk, we show how to realize the pro-$p$-Iwahori-Hecke algebra of $SL_n$ as a subalgebra of the pro-$p$-Iwahori-Hecke algebra of $GL_n$. Using the interplay between these two algebras, we deduce two main results: one on a numerical Langlands correspondence between ``packets'' of Hecke modules and mod-p projective Galois representations, and another on an equivalence of categories between Hecke modules and mod-$p$ representations of $SL_n$.
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