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SUMMARY:Cong Xue (Cambridge)
DTSTART:20201105T170000Z
DTEND:20201105T182000Z
DTSTAMP:20260423T021308Z
UID:RAMpAGe/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/20/"
 >Smoothness of the cohomology sheaves of stacks of shtukas</a>\nby Cong Xu
 e (Cambridge) as part of Recent Advances in Modern p-Adic Geometry (RAMpAG
 e)\n\n\nAbstract\nLet $X$ be a smooth projective geometrically connected c
 urve\nover a finite field $\\mathbb{F}_q$. Let $G$ be a connected reductiv
 e group over the\nfunction field of $X$. For every finite set $I$ and ever
 y representation of\n$(\\check{G})^I$\, where $\\check{G}$ is the Langland
 s dual group of $G$\, we have\na stack of shtukas over $X^I$. For every de
 gree\, we have a compact support\nl-adic cohomology sheaf over $X^I$.\n\nI
 n this talk\, I will recall some properties of these sheaves. I will\ntalk
  about a work in progress which proves that these sheaves are\nind-smooth 
 over $X^I$.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/20/
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