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SUMMARY:Jared Weinstein (Boston University)
DTSTART:20211005T160000Z
DTEND:20211005T172000Z
DTSTAMP:20260423T052953Z
UID:RAMpAGe/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/50/"
 >Bun_G minicourse:  Introduction</a>\nby Jared Weinstein (Boston Universit
 y) as part of Recent Advances in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbs
 tract\nThis talk is the first part of a six-part series "$\\mathrm{Bun}_G$
 \, Shtukas\, and the Local Langlands Program"\, held Tuesdays and Thursday
 s between 5 and 21 October\, 2021.\n\nRecordings and slides will appear he
 re:  https://sites.google.com/view/rampageseminar/home\n\nSeries abstract:
   The recent manuscript of Fargues-Scholze aims to "geometrize" the Langla
 nds program for a p-adic group $G$\, by relating the players in that story
  to the stack $\\mathrm{Bun}_G$.  Following a strategy of V. Lafforgue\, t
 he main result of [FS] is the construction of an L-parameter attached to a
  smooth irreducible representation of $G$.\n\nThe goal of this series is t
 o review the main ideas of this work\, and to discuss two related results:
   progress on the Kottwitz conjecture for local shtuka spaces by Hansen-Ka
 letha-Weinstein\,  and the construction of eigensheaves on $\\mathrm{Bun}_
 G$ when $G=\\mathrm{GL}_n$ by Anschütz-le Bras. \n\nTalk abstract:  We wi
 ll give a historically motivated introduction to the story\, reviewing mod
 uli spaces of $p$-divisible groups\, the Fargues-Fontaine curve\, and the 
 stack $\\mathrm{Bun}_G$ of $G$-bundles on it.  We will then define the mod
 uli spaces of local shtukas\, and state our result on their cohomology.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/50/
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