Patching and the p-adic local Langlands correspondence
File(s)CJM-2016-0004-0002-a002.pdf (931.59 KB)
Published version
Author(s)
Type
Journal Article
Abstract
We use the patching method of Taylor–Wiles and Kisin to construct a candidate for the pp-adic local Langlands correspondence for GLn(F)GLn(F), FF a finite extension of QpQp. We use our construction to prove many new cases of the Breuil–Schneider conjecture.
Date Issued
2016-07-13
Date Acceptance
2016-07-01
Citation
Cambridge Journal of Mathematics, 2016, 4 (2), pp.197-287
ISSN
2168-0930
Publisher
International Press of Boston
Start Page
197
End Page
287
Journal / Book Title
Cambridge Journal of Mathematics
Volume
4
Issue
2
Copyright Statement
© 2016 International Press of Boston, Inc. All rights reserved. This publication is also available from the International Press of Boston: http://dx.doi.org/10.4310/CJM.2016.v4.n2.a2.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Commission of the European Communities
Identifier
http://arxiv.org/abs/1310.0831v5
Grant Number
EP/L025485/1
FP7-PEOPLE-2011-CIG-303605
FP7-ERC-StG-2012-306326
Subjects
Science & Technology
Physical Sciences
Mathematics
INDUCED REPRESENTATIONS
SMOOTH REPRESENTATIONS
GLOBAL COMPATIBILITY
INTEGRAL STRUCTURES
CONJECTURE
AUTOMORPHY
CONSTRUCTION
CHARACTERS
INVARIANT
MONODROMY
math.NT
math.NT
Publication Status
Published
Date Publish Online
2016-07-13