The Resource The p-adic Simpson correspondence, Ahmed Abbes, Michel Gros, Takeshi Tsuji
The p-adic Simpson correspondence, Ahmed Abbes, Michel Gros, Takeshi Tsuji
Resource Information
The item The p-adic Simpson correspondence, Ahmed Abbes, Michel Gros, Takeshi Tsuji represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The p-adic Simpson correspondence, Ahmed Abbes, Michel Gros, Takeshi Tsuji represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource
- 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.
- Isbn
- 9781400881239
- Label
- The p-adic Simpson correspondence
- Title
- The p-adic Simpson correspondence
- Statement of responsibility
- Ahmed Abbes, Michel Gros, Takeshi Tsuji
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.sandiego.edu/portal/The-p-adic-Simpson-correspondence-Ahmed-Abbes/Ctc6qmmYze0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/The-p-adic-Simpson-correspondence-Ahmed-Abbes/Ctc6qmmYze0/">The p-adic Simpson correspondence, Ahmed Abbes, Michel Gros, Takeshi Tsuji</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>
