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SUMMARY:Lue Pan (Princeton University)
DTSTART:20250506T180000Z
DTEND:20250506T190000Z
DTSTAMP:20260419T152650Z
UID:BC-MIT/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/22/">
 Plectic Lie algebra action on the cohomology of Hilbert modular varieties<
 /a>\nby Lue Pan (Princeton University) as part of BC-MIT number theory sem
 inar\n\nLecture held in Room 2-449 at MIT.\n\nAbstract\nA result of Jan Ne
 kovář says that the Galois action on p-adic intersection cohomology of H
 ilbert modular varieties with coefficients in automorphic local systems is
  semisimple. We will explain a new proof of this result for the non-CM par
 t of the cohomology and extend it to the locally analytic completed cohomo
 logy. Interestingly\, Nekovář’s approach is based on the construction 
 of partial Frobenii at places away from p\, while our method uses partial 
 Sen operators at p to construct a plectic Lie algebra action (whose meanin
 g will be explained in the talk). This is joint work in progress with Yuan
 yang Jiang.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/22/
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