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SUMMARY:Pak-Hin Lee (University of Leicester and University of Warwick)
DTSTART:20230301T160000Z
DTEND:20230301T170000Z
DTSTAMP:20260418T064144Z
UID:LNTS/90
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/90/">On
  the p-adic interpolation of Asai L-values</a>\nby Pak-Hin Lee (University
  of Leicester and University of Warwick) as part of London number theory s
 eminar\n\nLecture held in Rm. 706\, UCL Department of Mathematics (UCL Uni
 on Building).\n\nAbstract\nOne theme of the relative Langlands program is 
 that period integrals of an automorphic representation of $G$ over a subgr
 oup $H$ often detect functorial transfer from some other group $G'$\; more
 over\, such period integrals often compute special $L$-values. It is natur
 al to expect $p$-adic $L$-functions interpolating these period integrals a
 s the automorphic representation varies in $p$-adic families\, which shoul
 d encode geometric information about the eigenvariety of $G$. In this talk
 \, we consider the case of Flicker--Rallis periods\, where $G = \\mathrm{G
 L}_n(K)$ and $H = \\mathrm{GL}_n(\\mathbf{Q})$ for an imaginary quadratic 
 field $K$\, and outline the construction of a $p$-adic $L$-function on the
  eigenvariety of $G$ interpolating certain non-critical Asai $L$-values. T
 his is work in progress with Daniel Barrera Salazar and Chris Williams.\n
LOCATION:https://researchseminars.org/talk/LNTS/90/
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