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SUMMARY:Cong Xue (CNRS and IMJ-PRG)
DTSTART:20201110T153000Z
DTEND:20201110T163000Z
DTSTAMP:20260423T130021Z
UID:MITNT/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/14/">S
 moothness of the cohomology sheaves of stacks of shtukas</a>\nby Cong Xue 
 (CNRS and IMJ-PRG) as part of MIT number theory seminar\n\n\nAbstract\nLet
  $X$ be a smooth projective geometrically connected curve over a finite fi
 eld $\\mathbb{F}_q$. Let $G$ be a connected reductive group over the funct
 ion field of $X$. For every finite set $I$ and every representation of $(\
 \check{G})^I$\, where $\\check{G}$ is the Langlands dual group of $G$\, we
  have a stack of shtukas over $X^I$. For every degree\, we have a compact 
 support $\\ell$-adic cohomology sheaf over $X^I$.\n\nIn this talk\, I will
  recall some properties of these sheaves. I will talk about a work in prog
 ress which proves that these sheaves are ind-smooth over $X^I$.\n
LOCATION:https://researchseminars.org/talk/MITNT/14/
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