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arXiv · 1711.02025

Trianguline Galois representations and Schur functors

Andrea Conti
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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.

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Andrea Conti. 2021-01-14. Trianguline Galois representations and Schur functors. https://arxiv.org/abs/1711.02025

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