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SUMMARY:Manami Roy (Fordham University)
DTSTART:20210312T160000Z
DTEND:20210312T170000Z
DTSTAMP:20260423T041749Z
UID:QMULANTS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMULANTS/12/
 ">Counting cuspidal automorphic representations of GSp(4)</a>\nby Manami R
 oy (Fordham University) as part of Queen Mary University of London Algebra
  and Number Theory Seminar\n\n\nAbstract\nThere is a well-known connection
  between the Siegel modular forms of degree 2 and the automorphic represen
 tations of GSp(4). Using this relationship and the available dimension for
 mulas for the spaces of Siegel cusp forms of degree 2\, we count a specifi
 c set of cuspidal automorphic representations of GSp(4). Consequently\, we
  obtain an equidistribution result for a family of cuspidal automorphic re
 presentations of GSp(4). This kind of equidistribution result is analogous
  to the so-called vertical Sato-Tate conjecture for GL(2). The method of c
 ounting automorphic representations is also helpful for computing dimensio
 ns of some spaces of Siegel cusp forms\, which are not yet known. The talk
  is based on a joint work with Ralf Schmidt and Shaoyun Yi.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/12/
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