# 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 : Description http://www.imj-prg.fr/tn/STN/stnj.html

 Orateur(s) Yu MIN - IMJ-PRG, Titre On the structure of Breuil-Kisin cohomology in low ramification Date 25/11/2019 Horaire 14:00 à 15:00 Diffusion Résume 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. Salle salle 1016 Adresse Sophie Germain