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홈 > 학술정보 >학술행사 > 세미나
한국고등과학원 세미나

Title
Fourier-Jacobi period and critical central $L$-value
Speaker
Jaeho Haan   (CMC )
Date
2018-11-09 17:00:00
Host
KIAS
Place
8309
Abstract
The Gan-Gross-Prasad conjecture predicts that the non-vanishing of certain periods is equivalent to the non-vanishing of certain central value of some $L$-function. There are two types of periods: Bessel period, Fourier-Jacobi(FJ) period. Bessel period is period of automorphic forms on orthogonal group or hermitian unitary group and FJ period is period on symplectic and metaplectic group or skew hermitian unitary group. In a seminal paper of Wei Zhang (2014. Ann. of Math), he proved Bessel case for unitary group and thereafter Hang Xue proved FJ-case for unitary group in a similar way. But both results are under some local restrictions to apply relative trace formula. In this talk, we prove one direction of the FJ case for unitary group without local restriction. This is a joint work with Hiraku Atobe.
개인정보보호정책 l 이메일주소집단수집금지 l 뷰어다운로드
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