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SUMMARY:Irreducible cuspidal automorphic representations with prescribed l
 ocal behavior
DTSTART:20210316T133000
DTEND:20210316T150000
DTSTAMP:20260416T193031Z
UID:aa272c79cd310dc618f09cb2314c2c3c9c5696d1f06dc6b5c5aa2ba1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Hongjie Yu (IST Austria)\nLet G be a reductive group defined o
 ver a function field F. I use a variant of Arthur’s trace formula to det
 ermine the sum of the multiplicities of the irreducible representations in
  the cuspidal automorphic spectrum of G\, with specified local behavior at
  a finite set of places of F and unramified elsewhere. This sum is given i
 n terms of the mass of F_q points of some Hitchin moduli stack defined by 
 Chaudouard-Laumon. For GL(n)\, it expresses the number of l-adic local sys
 tems over a curve with specified tame ramification in terms of the numbe
 r of stable parabolic Higgs bundles. \n\n \n(30 minutes general talk fol
 lowed by 45 minutes research talk)
LOCATION:https://epfl.zoom.us/j/83413323881?pwd=V0ZHRS93RjdZWDVEYmxVUmlOMW
 FMUT09
STATUS:CONFIRMED
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