Trianguline Galois representations and Schur functors

2017/11/06 by Conti, Andrea
#11F33 #11F80 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1711.02025

Abstract

Given a B-pair W and a Schur functor S, we show under some general assumptions that W is trianguline if and only if S(W) is. This is an extension of earlier work of Di Matteo. We derive some consequences on the behavior of local Galois representations under morphisms of Langlands dual groups. We attach to a Schur functor a map between the trianguline deformation spaces defined by Hellmann, and we study congruence loci on the Hecke-Taylor-Wiles varieties constructed by Breuil, Hellmann and Schraen for unitary groups.

Related

• Lifting trianguline Galois representations along isogenies
• Non-regular trianguline representations
• Local models for the trianguline variety and partially classical families
• Families of trianguline representations and finite slope spaces
• Deformations of trianguline B-pairs