Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence

By W. Gan, Gordan Savin. Compositio Mathematica, 2012

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On the Howe duality conjecture in classical theta correspondence (2014, background): “3, the assumption that p 6= 2 can be totally removed from all the results in [2] (on the local Shimura correspondence) and also parts of [1] (those dealing with the almost equal rank case, such as the results on Prasad’s conjecture in [1, Appendix C]).”
L-functions and theta correspondence for classical groups (2014, unknown): “[1, 5, 7, 13, 39, 71]).”
Formal degrees and local theta correspondence (2013, methodology): “1, we deduce the following dichotomy which was established in [28] for Case A and in [15, §11], [11] for Cases B and C′ when dimV = dimV ′.”
The regularized Siegel–Weil formula (the second term identity) and the Rallis inner product formula (2012, methodology): “2] when 0 = 1 and [9,27] when 0 = 0; it is responsible for the phenomenon known as the local theta dichotomy, which was shown in [9] and [4].”