|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Fourier-Jacobi cycles and derivative of L-functions|
|Date:||Thursday, March 15|
|Time/Room:||4:30pm - 5:30pm/Fine Hall 214, Princeton University|
In this talk, 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 propose a conjectural formula relating such height pairing and derivative of certain Rankin-Selberg L-function of symplectic type. We will also explain an approach toward this conjecture using arithmetic relative trace formula.