Components of moduli stacks of two-dimensional Galois representations
arXiv:2207.05237
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.
71 pages. Comprises portions of the unpublished arXiv:1908.07019