The geometric Breuil-M\'ezard conjecture for two-dimensional potentially Barsotti-Tate Galois representations

Autor:	Caraiani, Ana, Emerton, Matthew, Gee, Toby, Savitt, David
Rok vydání:	2022
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We establish a geometrisation of the Breuil-M\'ezard conjecture for potentially Barsotti-Tate representations, as well as of the weight part of Serre's conjecture, for moduli stacks of two-dimensional mod p representations of the absolute Galois group of a p-adic local field. Comment: To appear, Algebra & Number Theory. 25 pages. Comprises portions of the unpublished arXiv:1908.07019
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.05235 Zobrazit plný text záznamu View this record from Arxiv