The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2025-01-31 DOI:10.2140/ant.2025.19.287

Ana Caraiani, Matthew Emerton, Toby Gee, David Savitt

引用次数: 0

Abstract

We establish a geometrization of the Breuil–Mézard 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. These results are first proved for the stacks of our earlier papers, and then transferred to the stacks of Emerton and Gee by means of a comparison of versal rings.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

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