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SUMMARY:Florin Radulescu (IMAR and Rome)
DTSTART:20220602T100000Z
DTEND:20220602T104500Z
DTSTAMP:20260423T023012Z
UID:WienGAGT/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/22/
 ">Dimension formulae of Gelfand-Graev\, Jones and their relation to automo
 rphic forms and temperdness of quasiregular representations</a>\nby Florin
  Radulescu (IMAR and Rome) as part of Vienna Geometry and Analysis on Grou
 ps Seminar\n\n\nAbstract\nVaughan Jones introduced a formula computing the
  von Neumann dimension for the restriction to a lattice of the left regula
 r representation of a semisimple Lie group.\n\nIt is a variant of a formul
 a by Atiah Schmidt computing  the formal  dimension in the Haris Chandra t
 race formula for discrete series. It is surprisingly similar (in the case 
 of PSL(2\,Z)) to the dimension of the space of automorphic forms and is si
 milar to a formula proved by Gelfand\, Graev.  We use an extension of this
  formula to provide a method for computing the formal trace of representat
 ions of PSL(2\,Q_p) (or more general situations)\, when analyzing the quas
 i regular representation on PSL(2\,R)/PSL(2\,Z). It provides a method to o
 btain estimates for eigenvalues of  Hecke operators.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/22/
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