Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Cong Xue
Email des responsables : alexis.bouthier@imj-prg.fr, cong.xue@imj-prg.fr
Salle :
Adresse :

Orateur(s) Hiroki Kato - Orsay,
Titre p-adic weight monodromy conjecture for complete intersections
Horaire10:30 à 12:00
RésumeFor $\ell$-adic cohomology, the weight monodromy conjecture for complete intersections was proved by Scholze in his celebrated paper. Using his theory of perfectoid spaces, he reduced it to the equal characteristic case, which was already proved by Deligne. For $p$-adic cohomology, the equal characteristic case has been already formulated and proved by Lazda and Pal, but it is not straightforward to apply Scholze's technique to reduce the conjecture for complete intersections to the equal characteristic case. In this talk, I will discuss how to realize it (joint work with Federico Binda and Alberto Vezzani).
AdresseSophie Germain