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The category MF in the semistable case

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Post-edited
Authors : Faltings, Gerd (Author of the conference)
CIRM (Publisher )

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classical theory of $MF$ regularisation by Frobenius semistable case - use divided power hull new types of objects new method of Frobenius regularisation the Deligne - Rapoport example Vasiu's method new semistable reduction

Abstract : For smooth schemes the category $MF$ (defined by Fontaine for DVR's) realises the "mysterious functor", and provides natural systems of coeffients for crystalline cohomology. We generalise it to schemes with semistable singularities. The new technical features consist mainly of different methods in commutative algebra

MSC Codes :
14F30 - $p$-adic cohomology, crystalline cohomology

    Information on the Video

    Film maker : Vichi, Pascal ; Hennenfent, Guillaume
    Language : English
    Available date : 09/07/15
    Conference Date : 22/06/2015
    Series : The Fields Medallists
    Subseries : Research talks
    arXiv category : Algebraic Geometry ; Number Theory
    Mathematical Area(s) : Algebraic & Complex Geometry ; Number Theory
    Format : QuickTime (.mov) Video Time : 01:03:03
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2015-06-23_Faltings.mp4

Information on the Event

Event Title : Arithmetic geometry, representation theory and applications / Géométrie arithmétique, théorie des représentations et applications
Event Organizers : Abbes, Ahmed ; Breuil, Christophe ; Chenevier, Gaëtan ; Saito, Takeshi
Dates : 22/06/15 - 26/06/2015
Event Year : 2015
Event URL : http://conferences.cirm-math.fr/1185.html

Citation Data

DOI : 10.24350/CIRM.V.18774003
Cite this video as: Faltings, Gerd (2015). The category MF in the semistable case. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18774003
URI : http://dx.doi.org/10.24350/CIRM.V.18774003

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