Trianguline Galois representations and Schur functors

Andrea Conti

Trianguline Galois representations and Schur functors

Number Theory 2021-01-18 v2

Authors: Andrea Conti

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.

Keywords

trianguline representations galois representations schur functors b-pairs langlands dual groups deformation spaces hecke-taylor-wiles varieties

Cite

@article{arxiv.1711.02025,
  title  = {Trianguline Galois representations and Schur functors},
  author = {Andrea Conti},
  journal= {arXiv preprint arXiv:1711.02025},
  year   = {2021}
}

Comments

The lemma cited as 4.6 turned out to be false in the generality I use it, hence the proof of one of the main results, Theorem 4.2, does not work. A new proof of all the results of Sections 1 to 6, by a different method, is given in ArXiv:2101:02189

Trianguline Galois representations and Schur functors

Abstract

Keywords

Cite

Comments

Related papers