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SUMMARY:Proof of the l-adic categorical Langlands conjecture for GL_n for 
 Langlands-Shahidi type paramters [MPIM]
DTSTART:20250131T130500Z
DTEND:20250131T151000Z
DTSTAMP:20260416T084900Z
UID:indico-event-202@math-events.uni-bonn.de
DESCRIPTION:Speakers: Konradq Zhou (MPIM)\n\nOberseminar Arithmetic Geomet
 ry and Representation Theory\nhttps://www.math.uni-bonn.de/ag/alggeom/AGaR
 Tseminar\nRecently Laurent Fargues and Peter Scholze proposed a geometriza
 tion of the l-adic Langlands program. This is formulated as an equivalence
  of two categories linear over the stack of L-parameters. Linus Hamann sin
 gled out a suitable subset of L-parameters he calls "Langlands-Shahidi typ
 e" for which such an equivalence is also t-exact and the categories admit 
 an easy description as the product of representation categories for inner 
 forms of GL_n. We discuss a proof of this conjecture following an inductiv
 e argument of Nguyen and review some applications for the cohomology of lo
 cal and global Shimura varieties and for sheaves on the stack of G-bundles
  on the Fargues-Fontaine curve.\n\nhttps://math-events.uni-bonn.de/event/2
 02/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/202/
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