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SUMMARY:Weibo Fu (Princeton University)
DTSTART:20211202T005000Z
DTEND:20211202T015000Z
DTSTAMP:20260423T024021Z
UID:POINTS/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/23/">
 A derived construction of eigenvarieties</a>\nby Weibo Fu (Princeton Unive
 rsity) as part of POINTS - Peking Online International Number Theory Semin
 ar\n\nLecture held in 77201\, Beijing International Center for Mathematica
 l Research\, Peking University.\n\nAbstract\nWe construct a derived varian
 t of Emerton's eigenvarieties using the locally analytic representation th
 eory of p-adic groups. The main innovations include comparison and exploit
 ation of two homotopy equivalent completed complexes associated to the loc
 ally symmetric spaces of a quasi-split reductive group 𝔾\, comparison t
 o overconvergent cohomology\, proving exactness of finite slope part funct
 or\, together with some representation-theoretic statements. As a global a
 pplication\, we exhibit an eigenvariety coming from data of $\\mathrm{GL}_
 n$ over a CM field as a subeigenvariety for a quasi-split unitary group.\n
 \nZoom number: 828 5069 1379\n\nPassword: 046645\n
LOCATION:https://researchseminars.org/talk/POINTS/23/
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