Automorphy for some l-adic lifts of automorphic mod l Galois representations. II |
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Authors: | Richard Taylor |
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Affiliation: | (1) Department of Mathematics, Harvard University, Cambridge, MA 02138, USA |
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Abstract: | We extend the results of [CHT] by removing the ‘minimal ramification’ condition on the lifts. That is we establish the automorphy of suitable conjugate self-dual, regular (de Rham with distinct Hodge–Tate numbers), l-adic lifts of certain automorphic mod l Galois representations of any dimension. The main innovation is a new approach to the automorphy of non-minimal lifts which is closer in spirit to the methods of [TW] than to those of [W], which relied on Ihara’s lemma. |
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