Local Compatibility for Trianguline Representations
Time: 2023-07-11
Published By: He Liu
Speaker(s): Lie Qian (Standford University)
Time: 09:00-10:00 July 19, 2023
Venue: Online
Trianguline representations are a big class of p-adic representations that contain all nice enough (cristalline) ones but allow a continuous variation of weights. Global consideration suggests that the GL_2(Q_p) representation arising from a trianguline representation should have nonzero eigenspace under Emerton's Jacquet functor. We prove this result using purely local method as well as a generalization to p-adic representation of G_F for F unramified over Q_p.
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