Ebook The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies)


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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 tale 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. Audiobook The p-adic Simpson Correspondence (AM-193 DOWNLOAD NOW justbookstop/?book=0691170282 PDF The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) by Ahmed Abbes The p-adic Simpson Correspondence (AM-193) (Annals of Buy The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) (AM-193) (Annals of Mathematics Studies) The p-adic Simpson Correspondence (AM The P-Adic Simpson Correspondence (AM-193) : Ahmed Abbes The P-Adic Simpson Correspondence (AM-193) Annals of Mathematics Studies (Hardcover) English; By (author) Ahmed Abbes By (author) The P-Adic Simpson Correspondence (AM-193) - Annals of Buy The P-Adic Simpson Correspondence (AM-193) (AM-193) - Annals of Mathematics Studies The p-adic Simpson correspondence The p-adic Simpson Correspondence (AM-193) The p-adic Simpson Correspondence (AM-193) The p-adic Simpson correspondence Annals of Mathematics Studies The p-adic Simpson Correspondence (AM-193) - Kobo The p-adic Simpson correspondence Annals of Mathematics Studies The p-adic Simpson Correspondence (AM-193) Princeton University Press Series in Annals of Mathematics BROWSE PRINCETON MATH Series in Annals of Mathematics Studies Annals of Mathematics Studies The p-adic Simpson Correspondence (AM-193) The p-adic Simpson Correspondence on JSTOR Annals of Mathematics Studies and study of thep-adic Simpson correspondence ap-adic analogue of the Simpson correspondence "tsuji" eBook search results Kobo Search results for "tsuji" at Kobo Read free previews and reviews from booklovers Shop eBooks at Kobo Free Ebook The p-adic Simpson Correspondence (Annals of Free Ebook The p-adic Simpson Correspondence (Annals of Mathematics Correspondence (Annals of Mathematics Studies) p-adic Simpson Correspondence (Annals of
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