Vol. 10, No. 6, 2016

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On 2-dimensional 2-adic Galois representations of local and global fields

Vytautas Paškūnas

Vol. 10 (2016), No. 6, 1301–1358
Abstract

We describe the generic blocks in the category of smooth locally admissible mod-2 representations of GL2(2). As an application we obtain new cases of the Breuil–Mézard and Fontaine–Mazur conjectures for 2-dimensional 2-adic Galois representations.

Keywords
$p$-adic Langlands, Fontaine–Mazur, modularity lifting
Mathematical Subject Classification 2010
Primary: 11F80
Milestones
Received: 1 September 2015
Revised: 22 April 2016
Accepted: 22 May 2016
Published: 30 August 2016
Authors
Vytautas Paškūnas
Universität Duisburg-Essen
Fakultät für Mathematik
Thea-Leymann-Str. 9
45127 Essen
Germany