Bellovin, R. (2023) Galois representations over pseudorigid spaces. Journal de Théorie des Nombres de Bordeaux, 35(1), pp. 283-334. (doi: 10.5802/jtnb.1246)
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Abstract
We study p-adic Hodge theory for families of Galois representations over pseudorigid spaces. Such spaces are non-archimedean analytic spaces which may be of mixed characteristic, and which arise naturally in the study of eigenvarieties at the boundary of weight space. We introduce perfect and imperfect overconvergent period rings, and we use the Tate–Sen method to construct overconvergent (φ, Γ)-modules for Galois representations over pseudorigid spaces.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Bellovin, Dr Rebecca |
| Authors: | Bellovin, R. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal de Théorie des Nombres de Bordeaux |
| Publisher: | Société Arithmétique de Bordeaux |
| ISSN: | 1246-7405 |
| ISSN (Online): | 2118-8572 |
| Published Online: | 04 May 2023 |
| Copyright Holders: | Copyright © Les auteurs, 2023. |
| First Published: | First published in Journal de Théorie des Nombres de Bordeaux 35(1):283-334 |
| Publisher Policy: | Reproduced under a Creative Commons license |
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