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SUMMARY:Lue Pan (Princeton)
DTSTART:20220119T170000Z
DTEND:20220119T182000Z
DTSTAMP:20260423T035752Z
UID:RAMpAGe/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/64/"
 >On the p-adic Hodge structure of completed cohomology of modular curves I
 </a>\nby Lue Pan (Princeton) as part of Recent Advances in Modern p-Adic G
 eometry (RAMpAGe)\n\n\nAbstract\nLet $p$ be a prime. I plan to explain how
  to read the $p$-adic Hodge structure of the $p$-adically completed cohomo
 logy of modular curves by studying the $p$-adic geometry of the modular cu
 rves at infinite level. One main tool is the relative Sen theory (also cal
 led $p$-adic Simpson correspondence) which provides a first-order differen
 tial equation and allows us to apply differential operators pulled back fr
 om the flag variety along the Hodge-Tate period map.\n\nLecture (1): Hodge
 -Tate structure\nLecture (2): de Rham structure\n\nIf time permits\, I wil
 l also discuss several applications.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/64/
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