Patching and the p-adic Langlands program for GL(2, Q_p)
Number Theory
2019-02-20 v2
Abstract
We present a new construction of the p-adic local Langlands correspondence for GL(2, Q_p) via the patching method of Taylor--Wiles and Kisin. This construction sheds light on the relationship between the various other approaches to both the local and global aspects of the p-adic Langlands program; in particular, it gives a new proof of many cases of the second author's local-global compatibility theorem, and relaxes a hypothesis on the local mod p representation in that theorem.
Cite
@article{arxiv.1609.06902,
title = {Patching and the p-adic Langlands program for GL(2, Q_p)},
author = {Ana Caraiani and Matthew Emerton and Toby Gee and David Geraghty and Vytautas Paskunas and Sug Woo Shin},
journal= {arXiv preprint arXiv:1609.06902},
year = {2019}
}
Comments
minor changes