The p-adic Simpson correspondence

The p-adic Simpson correspondence / Ahmed Abbes, Michel Gros, Takeshi Tsuji.

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...

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Bibliographic Details
Main Authors: Abbes, Ahmed (Author), Gros, Michel, 1956- (Author), Tsuji, Takeshi, 1967- (Author)
Format: eBook
Language:English
Published: Princeton : Princeton University Press, 2016.
Series:Annals of mathematics studies ; no. 193.
Subjects:
Group theory.
p-adic groups.
Geometry, Algebraic.
MATHEMATICS > Algebra > Intermediate.
MATHEMATICS > Algebra > General.
Geometry, Algebraic
Group theory
p-adic groups
Online Access:Click for online access
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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