The Breuil--Mezard conjecture for quaternion algebras
Number Theory
2013-09-03 v1
Abstract
We formulate a version of the Breuil--Mezard conjecture for quaternion algebras, and show that it follows from the Breuil--Mezard conjecture for GL_2. In the course of the proof we establish a mod p analogue of the Jacquet--Langlands correspondence for representations of GL_2(k), k a finite field of characteristic p.
Keywords
Cite
@article{arxiv.1309.0019,
title = {The Breuil--Mezard conjecture for quaternion algebras},
author = {Toby Gee and David Geraghty},
journal= {arXiv preprint arXiv:1309.0019},
year = {2013}
}
Comments
15 pages