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SUMMARY:Hongjie Yu (IST Austria)
DTSTART:20220427T073000Z
DTEND:20220427T083000Z
DTSTAMP:20260423T053140Z
UID:POINTS/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/33/">
 Number of irreducible representations in the cuspidal automorphic spectrum
 </a>\nby Hongjie Yu (IST Austria) as part of POINTS - Peking Online Intern
 ational Number Theory Seminar\n\n\nAbstract\nLet \\(G\\) be a reductive gr
 oup defined and split over a global function field. We are interested in t
 he sum of multiplicities of irreducible representations containing a regul
 ar depth zero representation of \\(G(O)\\)\, where \\(O\\) is the ring of 
 integral adeles\, in the automorphic cuspidal spectrum. The sum is express
 ed in terms of the number of \\(\\mathbb{F}_q\\)-points of Hitchin moduli 
 spaces of groups associated to \\(G\\). When \\( G=GL(n) \\)\, it implies 
 some cases of Deligne's conjecture by Langlands correspondence.\n\nZoom in
 fo: TBA\n
LOCATION:https://researchseminars.org/talk/POINTS/33/
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