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SUMMARY:Mathilde Gerbelli-Gauthier (McGill University)
DTSTART:20240423T150000Z
DTEND:20240423T160000Z
DTSTAMP:20260412T205257Z
UID:voganish/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/voganish/12/
 ">Counting non-tempered automorphic forms using endoscopy</a>\nby Mathilde
  Gerbelli-Gauthier (McGill University) as part of Canadian Rockies Represe
 ntation Theory\n\nLecture held in Zoom and MS337.\n\nAbstract\nHow many au
 tomorphic representations of level n have a specified local factor at the 
 infinite places? When this local factor is a discrete series representatio
 n\, this question is asymptotically well-undersertood as n grows. Non-temp
 ered local factors\, on the other hand\, violate the Ramanujan conjecture 
 and should be very rare. We use the endoscopic classification for represen
 tations to quantify this rarity in the case of cohomological representatio
 ns of unitary groups\, and discuss some applications to the growth of coho
 mology of Shimura varieties\n
LOCATION:https://researchseminars.org/talk/voganish/12/
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