G-torseurs en théorie de Hodge p-adique-Reference-Cited by-同舟云学术

G-torseurs en théorie de Hodge p-adique

Published:2020-10 Issue:10 Volume:156 Page:2076-2110
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Fargues Laurent

Abstract

RésuméÉtant donné un groupe réductif

$G$

sur une extension de degré fini de

$\mathbb {Q}_p$

on classifie les

$G$

-fibrés sur la courbe introduite dans Fargues and Fontaine [Courbes et fibrés vectoriels en théorie de Hodge

$p$

-adique, Astérisque 406 (2018)]. Le résultat est interprété en termes de l'ensemble

$B(G)$

de Kottwitz. On calcule également la cohomologie étale de la courbe à coefficients de torsion en lien avec la théorie du corps de classe local.

Publisher

Wiley

Subject

Algebra and Number Theory

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