Coverart for item
The Resource The p-adic Simpson correspondence, Ahmed Abbes, Michel Gros, Takeshi Tsuji

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

Label
The p-adic Simpson correspondence
Title
The p-adic Simpson correspondence
Statement of responsibility
Ahmed Abbes, Michel Gros, Takeshi Tsuji
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
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 following two new approaches, one by Ahmed Abbes and Michel Gros, the other by Takeshi Tsuji. The authors mainly focus on generalized representations of the fundamental group that are p-adically close to the trivial representation. The first approach relies on a new family of period rings built from the torsor of deformations of the variety over a universal p-adic thickening defined by J.M. Fontaine. The second approach introduces a crystalline-type topos and replaces the notion of Higgs bundles with that of Higgs isocrystals. The authors show the compatibility of the two constructions and the compatibility of the correspondence with the natural cohomologies. The last part of the volume contains results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost étale extensions and a chapter devoted to the Faltings topos. Though this topos is the general framework for Faltings' approach in p-adic Hodge theory, it remains relatively unexplored. The authors present a new approach based on a generalization of P. Deligne's covanishing topos
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Abbes, Ahmed
Index
index present
Language note
In English
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1956-
  • 1967-
http://library.link/vocab/relatedWorkOrContributorName
  • Gros, Michel
  • Tsuji, Takeshi
Series statement
Annals of Mathematics Studies
Series volume
193
http://library.link/vocab/subjectName
  • Group theory
  • p-adic groups
  • Geometry, Algebraic
  • MATHEMATICS
  • MATHEMATICS
  • Geometry, Algebraic
  • Group theory
  • p-adic groups
Label
The p-adic Simpson correspondence, Ahmed Abbes, Michel Gros, Takeshi Tsuji
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • 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.
Control code
ocn934626614
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781400881239
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other control number
10.1515/9781400881239
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt193cjds
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)934626614
Label
The p-adic Simpson correspondence, Ahmed Abbes, Michel Gros, Takeshi Tsuji
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • 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.
Control code
ocn934626614
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781400881239
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other control number
10.1515/9781400881239
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt193cjds
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)934626614

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