Joint IAS/Princeton University Number Theory Seminar | |

Topic: | Fourier-Jacobi cycles and derivative of L-functions |

Speaker: | Yifeng Liu |

Affiliation: | Northwestern University |

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.