Title: Fourier-Jacobi cycles and derivatives of L-functions I
Speaker: Prof. Yifeng Liu (Yale University)
Time: 2018-7-31, 15:00-16:30
Place: N818
Abstract: 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.