Hiraku Atobe, Wee Teck Gan
Published 2016-02-03Version 1
In this paper, we give an explicit determination of the theta lifting for symplectic-orthogonal and unitary dual pairs over a nonarchimedean field $F$ of characteristic $0$. We determine when theta lifts of tempered representations are nonzero, and determine the theta lifts in terms of the local Langlands correspondence.
Depth preserving property of the local Langlands correspondence for non-quasi-split unitary groups
The Gross-Prasad conjecture and local theta correspondence
Langlands parameters for epipelagic representations of $\text{\rm GL}_n$
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