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SUMMARY:Félicien Comtat (Queen Mary University of London)
DTSTART:20230308T160000Z
DTEND:20230308T170000Z
DTSTAMP:20260418T065059Z
UID:LNTS/95
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/95/">We
 ighted vertical equidistribution of Satake parameters for GSp(4)</a>\nby F
 élicien Comtat (Queen Mary University of London) as part of London number
  theory seminar\n\nLecture held in Rm. 706\, UCL Department of Mathematics
  (UCL Union Building).\n\nAbstract\nThe automorphic representations of an 
 algebraic group G factor as a restricted tensor product of local represent
 ations. In turn\, these local representations are parametrised by their Sa
 take parameters. One can ask what properties the Satake parameters that do
  arise from automorphic representations of G have to satisfy. For instance
 \, in the verical distribution problem\, one fixes a prime p and asks for 
 the distribution of the Satake parameters at p of automorphic representati
 ons of G varying in some families amenable to the theory of (relative) tra
 ce formulae. In this talk\, I discuss the case of Maass forms on G=GSp(4).
  When counted with a suitable weight coming from the Kuznetsov formula\, t
 he Satake parameters equidistribute with respect to the Sato-Tate measure.
  This is consistent with the generalised Ramanujan conjecture\, expected t
 o hold in this situation.\n
LOCATION:https://researchseminars.org/talk/LNTS/95/
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