Automorphy for some <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>l</mml:mi> </mml:math> -adic lifts of automorphic mod <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>l</mml:mi> </mml:math> Galois representations

Clozel, Laurent; Harris, Michael; Taylor, Richard

doi:10.1007/s10240-008-0016-1

Public

Automorphy for some l -adic lifts of automorphic mod l Galois representations

Published in Publications mathématiques de l IHÉS • Nov 7, 2008

Authors:

Laurent Clozel

Michael Harris

Richard Taylor

Abstract

We extend the methods of Wiles and of Taylor and Wiles from GL 2 to higher rank unitary groups and establish the automorphy of suitable conjugate self-dual, regular (de Rham with distinct Hodge-Tate numbers), minimally ramified, l -adic lifts of certain automorphic mod l Galois representations of an...

Subject

Galois module

Mathematics

Automorphic form

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