Analyse p-adique et représentations Galoisiennes

dc.creatorFontaine, Jean-Marc
dc.date2003-04-16
dc.date.accessioned2026-07-07T04:56:58Z
dc.date.available2026-07-07T04:56:58Z
dc.descriptionThe notion of a p-adic de Rham representation of the absolute Galois group of a p-adic field was introduced about twenty years ago (see e.g. [Fo93]). Three important results for this theory have been obtained recently: The structure theorem for the {\it almost $C_p$-representations}, the theorem {\it weakly admissible implies admissible} and the theorem {\it de Rham implies potentially semi-stable}. The proofs of the first two theorems are closely related to the study of a new kind of analytic groups, the {\it Banach-Colmez spaces} and the proof of the third uses deep results on p-{\it adic differential equations on the Robba ring}.
dc.identifierhttps://arxiv.org/abs/math/0304232
dc.identifierhttp://arxiv.org/abs/math/0304232
dc.identifierProceedings of the ICM, Beijing 2002, vol. 2, 139--148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67113
dc.subjectNumber Theory
dc.subject11F80, 11S25, 12H25, 14G22
dc.titleAnalyse p-adique et représentations Galoisiennes
dc.typetext

Files

Collections