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SUMMARY:Ana Caraiani
DTSTART:20200529T143000Z
DTEND:20200529T153000Z
DTSTAMP:20260423T094615Z
UID:CARTOON/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CARTOON/1/">
 Vanishing theorems for the cohomology of Shimura varieties</a>\nby Ana Car
 aiani as part of Cross Atlantic Representation Theory and Other topics ONl
 ine (CARTOON) conference\n\n\nAbstract\nI will survey some vanishing theor
 ems for the mod $p$ cohomology of Shimura varieties. I will mention some $
 p$-adic results and some $\\ell$-adic results\, where $\\ell$ is a prime d
 ifferent from $p$. Both settings rely on the geometry of the Hodge-Tate pe
 riod morphism. I will highlight the differently flavoured techniques that 
 are needed using the toy model of the modular curve. I will end by discuss
 ing joint work in progress with Matteo Tamiozzo in the case of Hilbert mod
 ular varieties.\n
LOCATION:https://researchseminars.org/talk/CARTOON/1/
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