Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Prof. Yifeng Liu, Yale University
Fourier-Jacobi cycles and derivatives of L-functions
Time & Venue:
2018.7.31-8.1 15:00-16:30 N818
In this series of two talks, we study the arithmetic theory of Fourier-Jacobi periods. we construct the so-called Fourier-Jacobi cycles on unitary Shimura varieties. The height pairing of these cycles can be regarded as the arithmetic analogue of classical Fourier-Jacobi periods for the pair of unitary groups of equal rank. We will formulate a conjectural formula relating such height pairing and derivative of certain Rankin-Selberg L-function. We will also explain an approach toward this conjecture using arithmetic relative trace formula.
Copyright@2008, All Rights Reserved, Academy of Mathematics and Systems Science, CAS
Tel: 86-10-82541777 Fax: 86-10-82541972 E-mail: firstname.lastname@example.org