Reference : Trianguline Galois representations and Schur functors
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Physical, chemical, mathematical & earth Sciences : Mathematics
Trianguline Galois representations and Schur functors
Conti, Andrea mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
[en] 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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