![School of Mathematics Event](/sites/default/files/styles/two_column_medium/public/2019-09/sm_default.jpg?itok=gMvWynkh)
Joint IAS/Princeton University Number Theory Seminar
Fourier-Jacobi cycles and derivative of L-functions
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.
Date & Time
March 15, 2018 | 4:30pm – 5:30pm
Location
Fine Hall 214, Princeton UniversitySpeakers
Yifeng Liu
Affiliation
Northwestern University