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SUMMARY:Robin Zhang (MIT)
DTSTART:20230912T203000Z
DTEND:20230912T213000Z
DTSTAMP:20260423T125843Z
UID:MITNT/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/75/">M
 odular Gelfand pairs\, multiplicity-free triples\, and maybe some gamma fa
 ctors</a>\nby Robin Zhang (MIT) as part of MIT number theory seminar\n\nLe
 cture held in Room 2-449 in the Simons Building (building 2).\n\nAbstract\
 nThe classical theory of Gelfand pairs and its generalizations over the co
 mplex numbers has many applications to number theory and automorphic forms
 \, such as the uniqueness of Whittaker models and the non-vanishing of the
  central value of a triple product $L$-function. With an eye towards simil
 ar applications in the modular setting\, this talk presents an extension o
 f the classical theory for representations of finite and compact groups to
  such representations over algebraically closed fields with arbitrary char
 acteristic. Time permitting\, I will also mention an analogue (joint with 
 J. Bakeberg\, M. Gerbelli-Gauthier\, H. Goodson\, A. Iyengar\, and G. Moss
 ) of the local converse theorem for Jacquet–Piatetski-Shapiro–Shalika 
 gamma factors of mod $\\ell \\neq p$ representations of finite general lin
 ear groups.\n
LOCATION:https://researchseminars.org/talk/MITNT/75/
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