The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:

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.

The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) by Ahmed Abbes, Michel Gros, Takeshi Tsuji

From reader reviews:

Paul Delatorre:

The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) can be one of your basic books that are good idea. We recommend that straight away because this guide has good vocabulary that could increase your knowledge in language, easy to understand, bit entertaining but still delivering the information. The article author giving his/her effort to place every word into joy arrangement in writing The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) nevertheless doesn't forget the main level, giving the reader the hottest and based confirm resource info that maybe you can be considered one of it. This great information could drawn you into fresh stage of crucial imagining.

Michael Johnson:

This The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) is great e-book for you because the content and that is full of information for you who have always deal with world and also have to make decision every minute. This particular book reveal it details accurately using great coordinate word or we can state no rambling sentences within it. So if you are read that hurriedly you can have whole facts in it. Doesn't mean it only will give you straight forward sentences but tricky core information with wonderful delivering sentences. Having The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) in your hand like finding the world in your arm, data in it is not ridiculous just one. We can say that no publication that offer you world throughout ten or fifteen second right but this book already do that. So , this is good reading book. Hey there Mr. and Mrs. stressful do you still doubt this?

Larry Morris:

As a student exactly feel bored for you to reading. If their teacher asked them to go to the library or to make summary for some guide, they are complained. Just very little students that has reading's soul or real their pastime. They just do what the educator want, like asked to the library. They go to right now there but nothing reading significantly. Any students feel that examining is not important, boring along with can't see colorful images on there. Yeah, it is for being complicated. Book is very important for you. As we know that on this age, many ways to get whatever you want. Likewise word says, ways to reach Chinese's country. Therefore , this The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) can make you truly feel more interested to read.

Andrew Blanton:

Reading a book make you to get more knowledge from that. You can take knowledge and information from a book. Book is created or printed or outlined from each source that filled update of news. On this modern era like right now, many ways to get information are available for anyone. From media social like newspaper, magazines, science e-book, encyclopedia, reference book, book and comic. You can add your knowledge by that book. Are you hip to spend your spare time to spread out your book? Or just trying to find the The p-adic Simpson Correspondence (AM-193) (Annals of Mathematics Studies) when you required it?