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SUMMARY:Lue Pan (University of Chicago)
DTSTART:20200827T160000Z
DTEND:20200827T172000Z
DTSTAMP:20260423T021258Z
UID:RAMpAGe/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/14/"
 >On the locally analytic vectors of the completed cohomology of modular cu
 rves</a>\nby Lue Pan (University of Chicago) as part of Recent Advances in
  Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nWe study locally analytic
  vectors of the completed cohomology of\nmodular curves and determine eige
 nvectors of a rational Borel subalgebra\nof gl_2(Q_p). As applications\, w
 e are able to prove a classicality result\nfor overconvergent eigenform of
  weight one and give a new proof of\nFontaine-Mazur conjecture in the irre
 gular case under some mild\nhypothesis. One technical tool is relative Sen
  theory which allows us to\nrelate infinitesimal group action with Hodge(-
 Tate) structure.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/14/
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