English

On the Breuil-M\'ezard conjecture

Number Theory 2015-11-03 v3

Abstract

We give a new local proof of Breuil-M\'ezard conjecture for two dimensional representations of the absolute Galois group of Qp\mathbb{Q}_p, when p5p\ge 5 and the representation has scalar endomorphisms.

Keywords

Cite

@article{arxiv.1209.5205,
  title  = {On the Breuil-M\'ezard conjecture},
  author = {Vytautas Paskunas},
  journal= {arXiv preprint arXiv:1209.5205},
  year   = {2015}
}

Comments

Subsections of {\S}2 have been rearranged; {\S}2.1 ({\S}2.2 in v2) has been rewritten to prove a stronger result; Remark 4.8 in v2 is false, {\S}4 has been rewritten to fix this; Prop.6.23, {\S}8 added

R2 v1 2026-06-21T22:09:53.698Z