Moduli stacks of two-dimensional Galois representations

Abstract

We construct moduli stacks of two-dimensional mod p representations of the absolute Galois group of a p-adic local field, and relate their geometry to the weight part of Serre's conjecture for GL(2).

123 pages. Unpublished. Has been split into arXiv:2207.05235, arXiv:2207.14337, and arXiv:2207.05237 for publication

Cited by in corpus (3)

• A semisimple mod $p$ Langlands correspondence in families for $G{L}_2({\mathbb{Q}}_p)$
• Combinatorics of Serre weights in the potentially Barsotti-Tate setting
• Moduli stacks of (phi,Gamma)-modules: a survey