Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Yifeng Liu, Yale University
Inviter:
Title:
Fourier-Jacobi cycles and derivatives of L-functions
Time & Venue:
2018.7.31-8.1 15:00-16:30 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.
Appendix：
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