Patching and the p-adic local Langlands correspondence

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Title: Patching and the p-adic local Langlands correspondence
Authors: Caraiani, A
Emerton, M
Gee, T
Geraghty, D
Paškūnas, V
Shin, SW
Item Type: Journal Article
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.
Issue Date: 20-Jul-2016
Date of Acceptance: 1-Jul-2016
URI: http://hdl.handle.net/10044/1/37074
DOI: http://dx.doi.org/10.4310/CJM.2016.v4.n2.a2
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/Funder: Commission of the European Communities
Commission of the European Communities
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: FP7-ERC-StG-2012-306326
FP7-PEOPLE-2011-CIG-303605
EP/L025485/1
Keywords: math.NT
math.NT
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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