l-Adic representations associated to modular forms over imaginary quadratic fields

Abstract

Let pi be a regular algebraic cuspidal automorphic representation of GL(2) over an imaginary quadratic number field K such that the central character of pi is invariant under the non-trivial automorphism of K. We show that pi is associated with an l-adic Galois representation rho over K such that at each prime of K outside an explicit finite set the Frobenius polynomial of rho agrees with the Hecke polynomial of pi.

11 pages, LaTeX2e; submitted

References in corpus (1)

• Some local-global non-vanishing results for theta lifts from orthogonal groups

Cited by in corpus (8)

• Galois representations attached to automorphic forms on GL_2 over CM fields
• An Eisenstein ideal for imaginary quadratic fields and the Bloch-Kato conjecture for Hecke characters
• Theta Lifts of Bianchi Modular Forms and Applications to Paramodularity
• Black Box Galois Representations
• Examples of genuine QM abelian surfaces which are modular
• Stark-Heegner cycles attached to Bianchi modular forms
• On lifting and modularity of reducible residual Galois representations over imaginary quadratic fields
• Serre's Modularity Conjecture