Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
Salle :
Adresse :



Orateur(s) Yu MIN - IMJ-PRG,
Titre On the structure of Breuil-Kisin cohomology in low ramification
Horaire14:00 à 15:00

In this talk, we will explain that for any proper smooth (formal) scheme over \(\mathcal{O}_K\) , where \(\mathcal{O}_K\) is the ring of integers in a complete discretely valued nonarchimedean extension K of \(\mathbb{Q}_p\) with perfect residue field k and ramification degree e, the i-th Breuil-Kisin cohomology group and its Hodge-Tate specialization admit nice decompositions when ie < p−1. We will see this can be used to prove the integral comparison theorems about p-adic etale cohomology and crystalline cohomology, which were proven before by Fontaine-Messing and Caruso.

Sallesalle 1016
AdresseSophie Germain