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

Released on by Martin C. Olsson
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  • Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case Book Detail

  • Author : Martin C. Olsson
  • Release Date : 2011-02-07
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 170
  • ISBN 13 : 082185240X
  • File Size : 78,78 MB
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Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case by Martin C. Olsson PDF Summary

Book Description: 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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