Conférence de mi-parcours du programme ANRThéorie de Hodge p-adique et Développements (ThéHopaD)

Collection Conférence de mi-parcours du programme ANRThéorie de Hodge p-adique et Développements (ThéHopaD)

Organizer(s) Ahmed Abbes (CNRS, IHÉS), Christophe Breuil (CNRS, Université Paris-Sud), Ariane Mézard (Université Paris 6) et Benjamin Schraen (CNRS, Université de Versailles Saint-Quentin)

Date(s) 22/09/2013 - 25/09/2013

00:00:00 / 00:00:00

10 10

The p-adic Simpson correspondence and Higgs isocrystals

By Takeshi Tsuji

The p-adic Simpson correspondence of Faltings between small Higgs bundles and small generalized representations, and another approach for it by A. Abbes and M. Gros both depend on the choice of a certain smooth lifting of the relevant variety. I will give a way to elimite this dependence by working with a kind of (iso)crystals, which I call Higgs (iso)crystals, instead of bundles. I will also discuss cohomology of Higgs isocrystals and comparison of cohomologies.

Information about the video

Date of recording 27/09/2013
Date of publication 17/10/2013
Institution IHES
Licence CC BY-NC-ND
Format MP4

Domain(s)

MSC codes

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