Fourier--Jacobi periods on unitary groups

Fourier--Jacobi periods on unitary groups

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Hang Xue, IAS
Fine Hall 214

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.