# Monodromy for some rank two Galois representations over CM fields

Allen, P
Newton, J

6 November 2020

## Journal:

Documenta Mathematica

## Last Updated:

2021-11-28T19:00:32.787+00:00

25

## DOI:

10.25537/dm.2020v25.2487-2506

2487-2506

## abstract:

We investigate local-global compatibility for cuspidal automorphic representations π for GL2 over CM fields that are regular algebraic of weight 0. We prove that for a Dirichlet density one set of primes l and any ι:Ql−→∼C, the l-adic Galois representation attached to π and ι has nontrivial monodromy at any v∤l in F at which π is special.

1196037

Submitted

Journal Article