3 papers
math.NT2019
Automorphy lifting for residually reducible -adic Galois representations, II
Patrick B. Allen, James Newton, Jack A. Thorne
We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary numb…
math.NT2019
Monodromy for some rank two Galois representations over CM fields
Patrick B. Allen, James Newton
We investigate local-global compatibility for cuspidal automorphic representations for GL(2) over CM fields that are regular algebraic of weight . We prove that for a Dirich…
math.NT2017
Local Langlands correspondence in rigid families
Christian Johansson, James Newton, Claus Sorensen
We show that local-global compatibility (at split primes) away from holds at all points of the -adic eigenvariety of a definite -variable unitary group. The novelty is we…