Fourier--Jacobi periods on unitary groups

Joint IAS/Princeton University Number Theory Seminar
Topic:Fourier--Jacobi periods on unitary groups
Speaker:Hang Xue
Affiliation:Member, School of Mathematics
Date:Thursday, November 13
Time/Room:4:30pm - 5:30pm/Fine 214, Princeton University

We formulate a conjectural identity relating the Fourier--Jacobi periods on unitary groups and the central value of certain Rankin--Selberg \(L\)-functions. This refines the Gan--Gross--Prasad conjecture. We give some examples supporting this conjecture.