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SUMMARY:Zheng Liu (UC Santa Barbara)
DTSTART:20200518T230000Z
DTEND:20200518T235000Z
DTSTAMP:20260423T022830Z
UID:UCLA_NTS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/3/"
 >The doubling archimedean zeta integrals for unitary groups</a>\nby Zheng 
 Liu (UC Santa Barbara) as part of UCLA Number Theory Seminar\n\n\nAbstract
 \nIn order to verify the compatibility between the conjecture of Coates--P
 errin-Riou and the interpolation results of the $p$-adic $L$-functions con
 structed by using the doubling method\, a doubling archimedean zeta integr
 al needs to be calculated for holomorphic discrete series. When the holomo
 rphic discrete series is of scalar weight\, it has been done by Bocherer-S
 chmidt and Shimura. In this talk\, I will explain a way to compute this ar
 chimedean zeta integral for unitary groups of arbitrary signatures and gen
 eral vector weights. This is a joint work with Ellen Eischen.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/3/
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