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SUMMARY:Lie Qian (Stanford University)
DTSTART:20230411T203000Z
DTEND:20230411T213000Z
DTSTAMP:20260423T130313Z
UID:MITNT/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/69/">L
 ocal Compatibility for Trianguline Representations</a>\nby Lie Qian (Stanf
 ord University) as part of MIT number theory seminar\n\nLecture held in Ro
 om 2-449 in the Simons Building (building 2).\n\nAbstract\nTrianguline rep
 resentations are a big class of $p$-adic representations that contains all
  nice enough (cristalline) ones but allow a continuous variation of weight
 s. Global consideration suggests that the $GL_2(\\mathbb{Q}_p)$ representa
 tion arising from a trianguline representation should have nonzero eigensp
 ace under Emerton's Jacquet functor. We prove this result using purely loc
 al method as well as a generalization to $p$-adic representation of $G_F$ 
 for $F$ unramified over $\\mathbb{Q}_p$.\n
LOCATION:https://researchseminars.org/talk/MITNT/69/
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