Monodromy for Some Rank Two Galois Representations over CM Fields

  • Patrick B. Allen

    Department of Mathematics and Statistics, McGill University, Montreal, Quebec H3A 0B9, Canada
  • James Newton

    Department of Mathematics, King's College London, London WC2R 2LS, UK
Monodromy for Some Rank Two Galois Representations over CM Fields cover
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Abstract

We investigate local-global compatibility for cuspidal automorphic representations for over CM fields that are regular algebraic of weight . We prove that for a Dirichlet density one set of primes and any , the -adic Galois representation attached to and has nontrivial monodromy at any in at which is special.

Cite this article

Patrick B. Allen, James Newton, Monodromy for Some Rank Two Galois Representations over CM Fields. Doc. Math. 25 (2020), pp. 2487–2506

DOI 10.4171/DM/805