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SUMMARY:Arnaud Eteve (MPIM)
DTSTART:20250324T200000Z
DTEND:20250324T210000Z
DTSTAMP:20260423T022838Z
UID:NTBU/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/15/">Sp
 ectral action on isocrystals</a>\nby Arnaud Eteve (MPIM) as part of Boston
  University Number Theory Seminar\n\nLecture held in CDS Room 365 in Bosto
 n University.\n\nAbstract\nThis is joint work in progress with Dennis Gait
 sgory\, Alain Genestier and Vincent Lafforgue. Let $G$ be a reductive grou
 p over a local function field $F$. In their seminal work\, Fargues and Sch
 olze proposed a geometrization of the local Langlands correspondance for t
 he pair $(G\,F)$ by constructing a 'spectral action' on the category of $\
 \ell$-adic sheaves on $\\mathrm{Bun}_G$\, the stack of $G$-torsors on the 
 Fargues-Fontaine curve. The goal of this talk is to explain the constructi
 on of a different spectral action on the category of sheaves on the stack 
 of $G$-isocrystals which should offer another geometrization of the local 
 Langlands correspondance. Our construction has the benefit of being natura
 lly compatible with the announced work of Hemo and Zhu and should also be 
 equipped with a strong form of local-global compatibility.\n
LOCATION:https://researchseminars.org/talk/NTBU/15/
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