Galois representations attached to automorphic forms on GL_2 over CM fields

Abstract

In this paper we generalize the work of Harris-Soudry-Taylor and construct the compatible systems of two-dimensional Galois representations attached to cuspidal automorphic representations of cohomological type on GL_2 over a CM field with a suitable condition on their central characters. We also prove a local-global compatibility statement, up to semisimplification.

61 pages

References in corpus (1)

• Local-global compatibility and the action of monodromy on nearby cycles

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