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SUMMARY:Pan Yan (U of Arizona)
DTSTART:20220830T210000Z
DTEND:20220830T220000Z
DTSTAMP:20260423T024837Z
UID:UAANTS/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/45/">
 L-function for Sp(4)xGL(2) via a non-unique model</a>\nby Pan Yan (U of Ar
 izona) as part of University of Arizona Algebra and Number Theory Seminar\
 n\nLecture held in ENR2 S395.\n\nAbstract\nThe theory of L-functions of au
 tomorphic forms or automorphic representations is a central topic in moder
 n number theory. A fruitful way to study L-functions is through an integra
 l formula\, commonly referred to as an integral representation. The most c
 ommon examples of Eulerian integrals are the ones which unfold to a unique
  model such as the Whittaker model. Integrals which unfold to non-unique m
 odels fall outside of this paradigm\, and there are only a few such exampl
 es which are known to represent L-functions. In this talk\, we prove a con
 jecture of Ginzburg and Soudry [IMRN\, 2020] on an integral representation
  for the tensor product partial L-function for Sp(4)×GL(2) which is deriv
 ed from the twisted doubling method of Cai\, Friedberg\, Ginzburg\, and Ka
 plan. We show that the integral unfolds to a non-unique model and analyze 
 it using the New Way method of Piatetski-Shapiro and Rallis.\n
LOCATION:https://researchseminars.org/talk/UAANTS/45/
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