Publication: Deformations of GQp and GL2(Qp) Representations
Loading...
Open/View Files
Date
2010
Authors
Published Version
Journal Title
Journal ISSN
Volume Title
Publisher
Société Mathématique de France
The Harvard community has made this article openly available. Please share how this access benefits you.
Citation
Kisin, Mark. 2010. Deformations of GQp and GL2(Qp) Representations. Astérisque 330: 511-528.
Abstract
We show that Colmez's functor from GL2(Qp) representations to GQp representation produces essentially all two dimensional representations of GQp. The method compares the deformation theory for the two kinds of representations: An group calculation of Colmez implies that the deformation space for GL2(Qp) representations is closed in that for GQp-representations. A local version of the Gouvêa-Mazur "infinite fern'' argument shows that this closed subspace is also dense.
Description
Other Available Sources
Research Data
Keywords
galois representation, deformation
Terms of Use
This article is made available under the terms and conditions applicable to Open Access Policy Articles (OAP), as set forth at Terms of Service