The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On cohomological systems of Galois representations”

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

Richard Taylor (2008)

Publications Mathématiques de l'IHÉS

Similarity:

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.

Modularity of Galois representations

Chris Skinner (2003)

Journal de théorie des nombres de Bordeaux

Similarity:

This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, p -adic Galois representations associated to holomorphic Hilbert modular newforms.