English

Moduli stacks of two-dimensional Galois representations

Number Theory 2022-08-02 v3

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).

Keywords

Cite

@article{arxiv.1908.07019,
  title  = {Moduli stacks of two-dimensional Galois representations},
  author = {Ana Caraiani and Matthew Emerton and Toby Gee and David Savitt},
  journal= {arXiv preprint arXiv:1908.07019},
  year   = {2022}
}

Comments

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 Unpublished.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

R2 v1 2026-06-23T10:51:27.814Z