Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case

Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case
Author :
Publisher : American Mathematical Soc.
Total Pages : 170
Release :
ISBN-10 : 9780821852408
ISBN-13 : 082185240X
Rating : 4/5 (40X Downloads)

Book Synopsis Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case by : Martin C. Olsson

Download or read book Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case written by Martin C. Olsson and published by American Mathematical Soc.. This book was released on 2011-02-07 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author develops a non-abelian version of $p$-adic Hodge Theory for varieties (possibly open with ``nice compactification'') with good reduction. This theory yields in particular a comparison between smooth $p$-adic sheaves and $F$-isocrystals on the level of certain Tannakian categories, $p$-adic Hodge theory for relative Malcev completions of fundamental groups and their Lie algebras, and gives information about the action of Galois on fundamental groups.


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