Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case
Author | : Martin C. Olsson |
Publisher | : American Mathematical Soc. |
Total Pages | : 170 |
Release | : 2011-02-07 |
ISBN-10 | : 9780821852408 |
ISBN-13 | : 082185240X |
Rating | : 4/5 (08 Downloads) |
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.