Dr Jack Shotton jack.g.shotton@durham.ac.uk
Assistant Professor
We determine the local deformation rings of sufficiently generic mod l representations of the Galois group of a p-adic field, when l≠p, relating them to the space of q-power-stable semisimple conjugacy classes in the dual group. As a consequence, we give a local proof of the l≠p Breuil–Mézard conjecture of the author, in the tame case.
Journal Article Type | Article |
---|---|
Acceptance Date | Nov 18, 2021 |
Online Publication Date | Jun 3, 2022 |
Publication Date | 2022-04 |
Deposit Date | Jul 26, 2022 |
Publicly Available Date | Jul 26, 2022 |
Journal | Compositio Mathematica |
Print ISSN | 0010-437X |
Electronic ISSN | 1570-5846 |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
Volume | 158 |
Issue | 4 |
Pages | 721-749 |
DOI | https://doi.org/10.1112/s0010437x22007461 |
Public URL | https://durham-repository.worktribe.com/output/1199431 |
Published Journal Article
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http://creativecommons.org/licenses/by/4.0/
Copyright Statement
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original article is properly cited. Compositio Mathematica is © Foundation Compositio Mathematica.
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