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

@article{Taylor2008AutomorphyFS,
  title={Automorphy for some l-adic lifts of automorphic mod l Galois representations. II},
  author={Richard Taylor},
  journal={Publications math{\'e}matiques},
  year={2008},
  volume={108},
  pages={183-239}
}
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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