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Components of moduli stacks of two-dimensional Galois representations

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Title: Components of moduli stacks of two-dimensional Galois representations
Authors: Caraiani, A
Emerton, M
Gee, T
Savitt, D
Item Type: Journal Article
Abstract: In the article [CEGS20b], we introduced various moduli stacks of two-dimensional tamely potentially Barsotti–Tate representations of the absolute Galois group of a p-adic local field, as well as related moduli stacks of Breuil–Kisin modules with descent data. We study the irreducible components of these stacks, establishing, in particular, that the components of the former are naturally indexed by certain Serre weights.
Issue Date: 2024
Date of Acceptance: 15-Oct-2023
URI: http://hdl.handle.net/10044/1/112982
DOI: 10.1017/fms.2024.4
ISSN: 2050-5094
Publisher: Cambridge University Press
Journal / Book Title: Forum of Mathematics, Sigma
Volume: 12
Copyright Statement: © The Author(s), 2024. Published by Cambridge University Press This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Publication Status: Published
Article Number: e31
Online Publication Date: 2024-03-11
Appears in Collections:Pure Mathematics
Mathematics



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