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The p-adic Simpson Correspondence (AM-193)
Ahmed Abbes
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Description for The p-adic Simpson Correspondence (AM-193)
Paperback. Series: Annals of Mathematics Studies. Num Pages: 616 pages. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 254 x 178. .
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Princeton University Press
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
616
Place of Publication
New Jersey, United States
ISBN
9780691170299
SKU
V9780691170299
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Ahmed Abbes
Ahmed Abbes is director of research at the French National Center for Scientific Research (CNRS) and the Institute of Advanced Scientific Studies (IHES), France. Michel Gros is a researcher at the CNRS. Takeshi Tsuji is a professor in the Graduate School of Mathematical Sciences at the University of Tokyo.
Reviews for The p-adic Simpson Correspondence (AM-193)
"The authors give a very detailed introduction to the theory, smoothing out some difficulties by introducing new concepts."
Gerd Faltings, Zentralblatt MATH
Gerd Faltings, Zentralblatt MATH