|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Fourier--Jacobi periods on unitary groups|
|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.