Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1127.12301
Colmez, Pierre
$p$-adic monodromy conjecture. (Les conjectures de monodromie $p$-adiques.) (French)
[A] Séminaire Bourbaki. Volume 2001/2002. Exposés 894--908. Paris: Société Mathématique de France. Astérisque 290, 53-101, Exp. No. 897 (2003). ISBN 2-85629-149-X/pbk

The paper is a survey of a variety of subjects related to the conjecture about the quasi-unipotence of differential modules over the Robba ring possessing the Frobenius structure. The conjecture was proved by different methods by {\it Y. André} [Invent. Math. 148, No. 2, 285--317 (2002; Zbl 1081.12003)], {\it Z. Mebkhout} [Invent. Math. 148, No. 2, 319--351 (2002; Zbl 1071.12004)], and {\it K. Kedlaya} [Ann. Math. (2) 160, No. 1, 93--184 (2004; Zbl 1088.14005)]. The author discusses $p$-adic differential equations, $\varphi$-modules, $p$-adic Galois representations including the hierarchy of representations introduced by [{\it J.-M. Fontaine} [Périodes $p$-adiques. Séminaire de Bures-sur-Yvette, France, 1988, Astérisque 223, 113--184 (1994; Zbl 0865.14009)].
[Anatoly N. Kochubei (Ky\"iv)]

MSC 2000:: *12H25 p-adic differential equations
11S20 Galois theory for local fields
11S25 Galois cohomology for local fields
11F80 Galois properties
14F30 p-adic cohomology

Keywords: differential module; Robba ring; Frobenius structure; $\varphi$-module; Galois representation

Citations: Zbl 1081.12003; Zbl 1071.12004; Zbl 1088.14005; Zbl 0865.14009

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]