Titre : | Towards non-abelian p-adic Hodge theory in the good reduction case | Type de document : | texte imprimé | Auteurs : | Martin C. OLSSON, Auteur | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | Année de publication : | cop. 2010 | Collection : | Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 990 | Importance : | V-157 p. | ISBN/ISSN/EAN : | 978-0-8218-5240-8 | Langues : | Anglais (eng) | Catégories : | 14-XX
| Mots-clés : | théorie de Hodge analyse p-adique variant | Résumé : | We develop 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. | Note de contenu : | bibliogr. |
Towards non-abelian p-adic Hodge theory in the good reduction case [texte imprimé] / Martin C. OLSSON, Auteur . - American Mathematical Society, cop. 2010 . - V-157 p.. - ( Memoirs of the American Mathematical Society, ISSN 0065-9266; 990) . ISBN : 978-0-8218-5240-8 Langues : Anglais ( eng) Catégories : | 14-XX
| Mots-clés : | théorie de Hodge analyse p-adique variant | Résumé : | We develop 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. | Note de contenu : | bibliogr. |
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