The Breuil-Mezard conjecture for non-scalar split residual representations
Number Theory
2014-11-17 v2
Abstract
We prove the Breuil-Mezard conjecture for split non-scalar residual representations of Gal(Qp/Qp) by local methods. Combined with the cases previously proved in [18] and [24], this completes the proof of the conjecture (when p>3). As a consequence, the local restriction in the proof of the Fontaine-Mazur conjecture in [18] is removed.
Keywords
Cite
@article{arxiv.1309.1658,
title = {The Breuil-Mezard conjecture for non-scalar split residual representations},
author = {Yongquan Hu and Fucheng Tan},
journal= {arXiv preprint arXiv:1309.1658},
year = {2014}
}
Comments
Final version. To appear in Ann. Scient. de l'E.N.S