En poursuivant votre navigation sur ce site, vous acceptez l'utilisation d'un simple cookie d'identification. Aucune autre exploitation n'est faite de ce cookie. OK
2

Relative integral $p$-adic Hodge theory

Bookmarks Report an error
Multi angle
Authors : Morrow, Matthew (Author of the conference)
CIRM (Publisher )

Loading the player...

Abstract : 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.

MSC Codes :
11G25 - Varieties over finite and local fields
14D10 - Arithmetic ground fields (finite, local, global)
14F20 - Étale and other Grothendieck topologies and cohomologies
14F30 - $p$-adic cohomology, crystalline cohomology
14F40 - de Rham cohomology
14G20 - Local ground fields
14G22 - Rigid analytic geometry

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 25/10/2018
    Conference Date : 18/10/2018
    Subseries : Research talks
    arXiv category : Algebraic Geometry ; Number Theory
    Mathematical Area(s) : Algebraic & Complex Geometry ; Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 01:09:06
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2018-10-18_Morrow.mp4

Information on the Event

Event Title : Cohomology of algebraic varieties / Cohomologie des variétés algébriques
Event Organizers : Cadoret, Anna ; Charles, François ; Demarche, Cyril ; Klinger, Bruno ; Moonen, Ben
Dates : 15/10/2018 - 19/10/2018
Event Year : 2018
Event URL : https://conferences.cirm-math.fr/1775.html

Citation Data

DOI : 10.24350/CIRM.V.19466503
Cite this video as: Morrow, Matthew (2018). Relative integral $p$-adic Hodge theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19466503
URI : http://dx.doi.org/10.24350/CIRM.V.19466503

See Also

Bibliography



Bookmarks Report an error