| 000 -LEADER |
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| fixed length control field |
nam a22 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240219b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780691170299 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.22 |
| Item number |
ABB |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Abbes, Ahmed |
| 245 ## - TITLE STATEMENT |
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| Title |
The p-adic Simpson correspondence |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Princeton University Press, |
| Place of publication, distribution, etc |
Princeton : |
| Date of publication, distribution, etc |
2016 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xi, 603 p. ; |
| Other physical details |
ill., |
| Dimensions |
26 cm. |
| 365 ## - TRADE PRICE |
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| Price amount |
84.00 |
| Price type code |
$ |
| Unit of pricing |
86.50 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Annals of mathematics studies |
| Volume number/sequential designation |
v.193 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Dolbeault module |
|
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| Topical term or geographic name as entry element |
Faltings extension |
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| Topical term or geographic name as entry element |
Algebraic geometry |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Gros, Michel |
|
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| Personal name |
Tsuji, Takeshi |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Item type |
Books |