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SUMMARY:Yeongseong Jo (University of Iowa)
DTSTART:20201016T160000Z
DTEND:20201016T163000Z
DTSTAMP:20260418T110621Z
UID:MRTC2020/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MRTC2020/3/"
 >Local symmetric square L-functions for GL(2)</a>\nby Yeongseong Jo (Unive
 rsity of Iowa) as part of The 2020 Paul J. Sally\, Jr. Midwest Representat
 ion Theory Conference\n\n\nAbstract\nIn the influential work\, Gelbart and
  Jacquet analyzed the integral representation for local symmetric square $
 L$-functions on $GL(2)$ at finite places based on the work of Shimura. In 
 doing so\, Gelbart and Jacquet explicitly constructed the local functorial
  lifting from $GL(2)$ to $GL(3)$. In this talk we present a natural way to
  define the $L$-function from the family of integrals for the space of goo
 d sections proposed by Piatetski-Shapiro and Rallis. We show that this ana
 lytic local $L$-function for an irreducible admissible representation of $
 GL(2)$ agrees with the corresponding symmetric square Artin $L$-function f
 or its Langlnads parameter through the local Langlands correspondence.\n
LOCATION:https://researchseminars.org/talk/MRTC2020/3/
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