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SUMMARY:Xiaolei Wan (National University of Singapore)
DTSTART:20200708T010000Z
DTEND:20200708T020000Z
DTSTAMP:20260423T024743Z
UID:POINTS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/7/">E
 xamples related to the Sakellaridis-Venkatesh conjecture</a>\nby Xiaolei W
 an (National University of Singapore) as part of POINTS - Peking Online In
 ternational Number Theory Seminar\n\n\nAbstract\nIn this talk\, I will int
 roduce the Sakellaridis-Venkatesh conjecture on the decomposition of globa
 l period\, and give examples related to this conjecture. More specifically
 \, the cases $X = \\mathrm{SO}(n-1) \\backslash \\mathrm{SO}(n)$ and $X = 
 \\mathrm{U}(2) \\backslash \\mathrm{SO}(5)$. In both cases\, I will determ
 ine the Plancherel decompositions of $L^2(X_v)$\, where $v$ is a local pla
 ce. Then I will prove the local relative character identity. In the global
  setting\, I will give the factorization of the global period of $X = \\ma
 thrm{SO}(n-1) \\backslash \\mathrm{SO}(n)$\, where the local functional co
 mes from the local Plancherel decomposition. The example $X = \\mathrm{U}(
 2) \\backslash \\mathrm{SO}(5)$ is slightly beyond the SV conjecture but w
 e still have a decomposition of the global period as the sum of two factor
 izable elements.\n\nZoom ID: 646 0419 2446\n\nZoom password: 984662\n
LOCATION:https://researchseminars.org/talk/POINTS/7/
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