Wee Teck Gan, Atsushi Ichino
Published 2014-09-24Version 1
We establish the Fourier-Jacobi case of the local Gross-Prasad conjecture for unitary groups, by using local theta correspondence to relate the Fourier-Jacobi case with the Bessel case established by Beuzart-Plessis. To achieve this, we prove two conjectures of D. Prasad on the precise description of the local theta correspondence for (almost) equal rank unitary dual pairs in terms of the local Langlands correspondence.
Depth preserving property of the local Langlands correspondence for non-quasi-split unitary groups
On the modified mod p local Langlands correspondence for GL_2(Q_{\ell})
The B(G)-parametrization of the local Langlands correspondence
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