Galois representations over pseudorigid spaces
Number Theory
2022-11-07 v4
Abstract
We study -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 -modules for Galois representations over pseudorigid spaces.
Cite
@article{arxiv.2002.06687,
title = {Galois representations over pseudorigid spaces},
author = {Rebecca Bellovin},
journal= {arXiv preprint arXiv:2002.06687},
year = {2022}
}
Comments
Final version. To appear in J. Theor. Nombres Bordeaux