BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Gaëtan Chenevier & Olivier Taïbi (École Normale Supérieure)
DTSTART:20220128T133000Z
DTEND:20220128T150000Z
DTSTAMP:20260521T223938Z
UID:AutomorphicProject/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AutomorphicP
 roject/28/">Inexistence\, dimension formulas and classification for level 
 one algebraic cusp forms</a>\nby Gaëtan Chenevier & Olivier Taïbi (Écol
 e Normale Supérieure) as part of Automorphic Project & Research Seminar\n
 \n\nAbstract\n[Please note: there will be 2 talks\, 45' each.]\n\nIn the f
 irst lecture we will explain how improvements on using\nan old tool in ana
 lytic number theory\, Riemann-Weil's explicit formula\nfor L-functions\, a
 llowed us to prove the non-existence of level one\nalgebraic cusp forms fo
 r general linear groups over Q for lots of\ninfinitesimal characters (=set
 s of Hodge weights).  In the second\nlecture we will explain how these van
 ishing results yield an\n"effortless" method to compute the geometric side
  of Arthur's\n$L^2$-Lefschetz trace formula for split classical groups wit
 h the unit of\nthe unramified Hecke algebra.  We obtain dimension formulas
  as a\nconsequence.  Together these results give classification theorems f
 or\nlevel one algebraic cusp forms in motivic weight <=23.\n
LOCATION:https://researchseminars.org/talk/AutomorphicProject/28/
END:VEVENT
END:VCALENDAR