The p-adic Simpson Correspondence (AM-193) /

The p-adic Simpson Correspondence (AM-193) / / Ahmed Abbes, Takeshi Tsuji, Michel Gros.

The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra-namely Higgs bundles. This book undertakes a systematic development of the theory f...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2016
VerfasserIn:
Abbes, Ahmed,
Gros, Michel,
Tsuji, Takeshi,
MitwirkendeR:
Abbes, Ahmed,
Faltings, Gerd,
Gros, Michel,
Tsuji, Takeshi,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©2016
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 193
Online Access:
Physical Description:1 online resource (616 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Foreword
  • Chapter I. Representations of the fundamental group and the torsor of deformations. An overview
  • Chapter II. Representations of the fundamental group and the torsor of deformations. Local study
  • Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects
  • Chapter IV. Cohomology of Higgs isocrystals
  • Chapter V. Almost étale coverings
  • Chapter VI. Covanishing topos and generalizations
  • Facsimile : A p-adic Simpson correspondence
  • Bibliography
  • Indexes

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