Patching and the p-adic local Langlands correspondence
Number Theory
2016-07-04 v5
Abstract
We use the patching method of Taylor--Wiles and Kisin to construct a candidate for the p-adic local Langlands correspondence for GL_n(F), F a finite extension of Q_p. We use our construction to prove many new cases of the Breuil--Schneider conjecture.
Cite
@article{arxiv.1310.0831,
title = {Patching and the p-adic local Langlands correspondence},
author = {Ana Caraiani and Matthew Emerton and Toby Gee and David Geraghty and Vytautas Paskunas and Sug Woo Shin},
journal= {arXiv preprint arXiv:1310.0831},
year = {2016}
}
Comments
Final version, to appear in Cambridge Journal of Mathematics