Details

Autor(en) / Beteiligte

• Taylor, Richard

Titel

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

Ist Teil von

• Publications mathématiques. Institut des hautes études scientifiques, 2008-11, Vol.108 (1), p.183-239

Ort / Verlag

Berlin/Heidelberg: Springer-Verlag

Erscheinungsjahr

2008

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• 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.