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) Mark De Cataldo - Stony Brook University,
Titre Frobenius semisimplicity and convolution morphisms
Date14/03/2016
Horaire10:30 à 12:00
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Résume
I will report on recent joint work with T. Haines and L. Li. We conjecture a stronger form of the expectation that Frobenius acts semisimply on the cohomology of varieties over finite fields. We show that the stronger conjecture implies that the decomposition holds in a strong form if the ground field is finite. We verify that this stronger form of the decomposition theorem holds for convolution morphisms à-la-Luzstig.
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