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arXiv · 2207.05237

Components of moduli stacks of two-dimensional Galois representations

Ana Caraiani·Matthew Emerton·Toby Gee·David Savitt
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Abstract

In a previous article 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.

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Ana Caraiani, Matthew Emerton, Toby Gee, David Savitt. 2024-05-09. Components of moduli stacks of two-dimensional Galois representations. https://arxiv.org/abs/2207.05237

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