Local Compatibility for Trianguline Representations
发布时间：2023年07月11日
浏览次数：2138
发布者: He Liu
主讲人： Lie Qian (Standford University)
活动时间： 从 2023-07-19 09:00 到 10:00
场地： 线上
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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