Collection Cohomology of algebraic varieties / Cohomologie des variétés algébriques

Organisateur(s) Cadoret, Anna ; Charles, François ; Demarche, Cyril ; Klingler, Bruno ; Moonen, Ben

Date(s) 15/10/2018 - 19/10/2018

URL associée https://conferences.cirm-math.fr/1775.html

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Relative integral $p$-adic Hodge theory

Given a smooth scheme $X$ over the ring of integers of a $p$-adic field, we introduce the notion of a relative Breuil-Kisin-Fargues module $M$ on $X$. Each such $M$ simultaneously encodes the data of a lisse étale sheaf, a module with flat connection, and a crystal, whose cohomologies are then intertwined by a relative form of the $A_{inf}$ cohomology introduced in "Integral $p$-adic Hodge theory" by Bhatt-M-Scholze. They are moreover closely related to other work in relative $p$-adic Hodge theory, notably Faltings small generalised representations and his relative Fontaine Lafaille theory. Joint with Takeshi Tsuji.

Informations sur la vidéo

Date de captation 18/10/2018
Date de publication 25/10/2018
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19466503
Citer cette vidéo MORROW, Matthew (18/10/2018). Relative integral $p$-adic Hodge theory. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19466503
URL https://dx.doi.org/10.24350/CIRM.V.19466503