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The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji
| The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji |
| Autore | Abbes Ahmed |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (618 p.) |
| Disciplina | 512/.2 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Group theory
p-adic groups Geometry, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4008-8123-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Foreword -- Chapter I. Representations of the fundamental group and the torsor of deformations. An overview / Abbes, Ahmed / Gros, Michel -- Chapter II. Representations of the fundamental group and the torsor of deformations. Local study / Abbes, Ahmed / Gros, Michel -- Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects / Abbes, Ahmed / Gros, Michel -- Chapter IV. Cohomology of Higgs isocrystals / Tsuji, Takeshi -- Chapter V. Almost étale coverings / Tsuji, Takeshi -- Chapter VI. Covanishing topos and generalizations / Abbes, Ahmed / Gros, Michel -- Facsimile : A p-adic Simpson correspondence / Faltings, Gerd -- Bibliography -- Indexes |
| Record Nr. | UNINA-9910461044903321 |
Abbes Ahmed
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji
| The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji |
| Autore | Abbes Ahmed |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (618 p.) |
| Disciplina | 512/.2 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Group theory
p-adic groups Geometry, Algebraic |
| Soggetto non controllato |
Dolbeault generalized representation
Dolbeault module Dolbeault representation Faltings cohomology Faltings extension Faltings ringed topos Faltings site Faltings topos Galois cohomology Gerd Faltings Higgs bundle Higgs bundles Higgs crystals Higgs envelopes Higgs isocrystal HiggsДate algebra HodgeДate representation HodgeДate structure HodgeДate theory Hyodo's theory Koszul complex additive categories adic module almost faithfully flat descent almost faithfully flat module almost flat module almost isomorphism almost tale covering almost tale extension cohomology covanishing topos crystalline-type topos deformation discrete AЇ-module finite tale site fundamental group generalized covanishing topos generalized representation inverse limit linear algebra locally irreducible scheme morphism overconvergence p-adic Hodge theory p-adic Simpson correspondence p-adic field period ring ringed covanishing topos ringed total topos small generalized representation small representation solvable Higgs module tale cohomology tale fundamental group torsor |
| ISBN | 1-4008-8123-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Foreword -- Chapter I. Representations of the fundamental group and the torsor of deformations. An overview / Abbes, Ahmed / Gros, Michel -- Chapter II. Representations of the fundamental group and the torsor of deformations. Local study / Abbes, Ahmed / Gros, Michel -- Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects / Abbes, Ahmed / Gros, Michel -- Chapter IV. Cohomology of Higgs isocrystals / Tsuji, Takeshi -- Chapter V. Almost étale coverings / Tsuji, Takeshi -- Chapter VI. Covanishing topos and generalizations / Abbes, Ahmed / Gros, Michel -- Facsimile : A p-adic Simpson correspondence / Faltings, Gerd -- Bibliography -- Indexes |
| Record Nr. | UNINA-9910797970703321 |
|
Abbes Ahmed
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji
| The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji |
| Autore | Abbes Ahmed |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (618 p.) |
| Disciplina | 512/.2 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Group theory
p-adic groups Geometry, Algebraic |
| Soggetto non controllato |
Dolbeault generalized representation
Dolbeault module Dolbeault representation Faltings cohomology Faltings extension Faltings ringed topos Faltings site Faltings topos Galois cohomology Gerd Faltings Higgs bundle Higgs bundles Higgs crystals Higgs envelopes Higgs isocrystal HiggsДate algebra HodgeДate representation HodgeДate structure HodgeДate theory Hyodo's theory Koszul complex additive categories adic module almost faithfully flat descent almost faithfully flat module almost flat module almost isomorphism almost tale covering almost tale extension cohomology covanishing topos crystalline-type topos deformation discrete AЇ-module finite tale site fundamental group generalized covanishing topos generalized representation inverse limit linear algebra locally irreducible scheme morphism overconvergence p-adic Hodge theory p-adic Simpson correspondence p-adic field period ring ringed covanishing topos ringed total topos small generalized representation small representation solvable Higgs module tale cohomology tale fundamental group torsor |
| ISBN | 1-4008-8123-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Foreword -- Chapter I. Representations of the fundamental group and the torsor of deformations. An overview / Abbes, Ahmed / Gros, Michel -- Chapter II. Representations of the fundamental group and the torsor of deformations. Local study / Abbes, Ahmed / Gros, Michel -- Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects / Abbes, Ahmed / Gros, Michel -- Chapter IV. Cohomology of Higgs isocrystals / Tsuji, Takeshi -- Chapter V. Almost étale coverings / Tsuji, Takeshi -- Chapter VI. Covanishing topos and generalizations / Abbes, Ahmed / Gros, Michel -- Facsimile : A p-adic Simpson correspondence / Faltings, Gerd -- Bibliography -- Indexes |
| Record Nr. | UNINA-9910819658903321 |
|
Abbes Ahmed
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The P-Adic Simpson Correspondence and Hodge-Tate Local Systems
| The P-Adic Simpson Correspondence and Hodge-Tate Local Systems |
| Autore | Abbes Ahmed |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham : , : Springer, , 2024 |
| Descrizione fisica | 1 online resource (450 pages) |
| Altri autori (Persone) | GrosMichel |
| Collana | Lecture Notes in Mathematics Series |
| ISBN | 3-031-55914-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Chapter 1 An Overview -- 1.1 Introduction -- 1.2 Faltings Topos -- 1.3 Local Theory. The Torsor of Deformations -- 1.4 Global Theory. Dolbeault Modules -- 1.5 Functoriality of the p-adic Simpson Correspondence by Proper Direct Image -- 1.6 Relative Faltings Topos -- Chapter 2 Preliminaries -- 2.1 Notation and Conventions -- 2.2 Reminder on a Construction by Fontaine-Grothendieck -- 2.3 Fontaine Universal -- -adic Infinitesimal Thickenings -- 2.4 Logarithmic Infinitesimal Thickenings -- 2.5 Higgs Modules and -connections -- 2.6 Ind-objects of a Category -- 2.7 Ind-modules -- 2.8 Higgs Ind-modules and -connections -- 2.9 Modules up to Isogeny -- 2.10 Complement on the Functoriality of Generalized Covanishing Topos -- Chapter 3 The p-adic Simpson Correspondence and Hodge-Tate Modules. Local Study -- 3.1 Assumptions and Notation. -- -adic Infinitesimal Deformations -- 3.2 Torsors and Higgs-Tate Algebras -- 3.3 Dolbeault Representations -- 3.4 Small Higgs Modules -- 3.5 Hodge-Tate Representations -- Chapter 4 The -adic Simpson Correspondence and Hodge-Tate Modules. Global Study -- 4.1 Assumptions and Notation -- 4.2 Higgs Modules -- 4.3 Faltings Topos -- 4.4 Higgs-Tate Algebras in Faltings Topos -- 4.5 Dolbeault ind-modules -- 4.6 Dolbeault Q-modules -- 4.7 Cohomology of Dolbeault ind-modules -- 4.8 Dolbeault Modules Over a Small Affine Scheme -- 4.9 Pullback of a Dolbeault ind-module by an Étale Morphism -- 4.10 Stacky Properties of Dolbeault Modules -- 4.11 Hodge-Tate Modules -- 4.12 Dolbeault and Hodge-Tate Local Systems -- Chapter 5 Relative Cohomologies of Higgs-Tate Algebras. Local Study -- 5.1 Assumptions and Notation. Review of Relative Galois Cohomology -- 5.2 Relative Galois Cohomologies of Higgs-Tate Algebras -- 5.3 Relative Dolbeault Cohomology of Higgs-Tate Algebras.
Chapter 6 Relative Cohomology of Dolbeault Modules -- 6.1 Assumptions and Notation. Relative Faltings Topos -- 6.2 Base Change -- 6.3 Functoriality of Higgs-Tate algebras in Faltings Topos -- 6.4 Cohomological Computations -- 6.5 Relative Cohomology of Dolbeault ind-modules -- Errata and Addenda to "The -adic Simpson Correspondence" -- A) Misprints -- B) Errata -- References -- Index. |
| Record Nr. | UNISA-996601572803316 |
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Abbes Ahmed
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| Cham : , : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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The p-adic Simpson Correspondence and Hodge-Tate Local Systems / / by Ahmed Abbes, Michel Gros
| The p-adic Simpson Correspondence and Hodge-Tate Local Systems / / by Ahmed Abbes, Michel Gros |
| Autore | Abbes Ahmed |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (450 pages) |
| Disciplina | 516.35 |
| Altri autori (Persone) | GrosMichel |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Geometry, Algebraic
Algebraic Geometry |
| ISBN | 3-031-55914-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- An overview -- Preliminaries -- Local Study -- Global Study -- Relative cohomologies of Higgs-Tate algebras.Local Study -- Relative cohomology of Dolbeault modules -- References -- Index. |
| Record Nr. | UNINA-9910864179603321 |
|
Abbes Ahmed
|
||
| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||