BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lie Qian (Stanford University) DTSTART:20230719T010000Z DTEND:20230719T020000Z DTSTAMP:20260423T005843Z UID:PekiNT/10 DESCRIPTION:Title: Local Compatibility for Trianguline Representations\nby Lie Qian (Stan ford University) as part of PKU/BICMR Number Theory Seminar\n\nLecture hel d in Room 77201\, BICMR.\n\nAbstract\nTrianguline representations are a bi g class of $p$-adic representations that contain all nice enough (cristall ine) ones but allow a continuous variation of weights. Global consideratio n suggests that the $GL_2(\\mathbb{Q}_p)$ representation arising from a tr ianguline representation should have nonzero eigenspace under Emerton's Ja cquet functor. We prove this result using purely local method as well as a generalization to $p$-adic representation of $G_F$ for $F$ unramified ove r $\\mathbb{Q}_p$.\n\nFor online or hybrid talks\, the Zoom number is 743 736 2326\, and the password is 013049.\n LOCATION:https://researchseminars.org/talk/PekiNT/10/ END:VEVENT END:VCALENDAR