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arXiv · 1804.09878

Theta lifts and distinction for regular supercuspidal representations

Chong Zhang
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Abstract

This article has a twofold purpose. First, by recent works of Kaletha and Loke-Ma, we give an explicit description of the local theta correspondence between regular supercuspidal representations in the equal rank symplectic-orthogonal case. Second, based on this description, we show that the local theta correspondence preserves distinction with respect to unramified Galois involutions.

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BibTeXRIS

Chong Zhang. 2018-04-26. Theta lifts and distinction for regular supercuspidal representations. https://arxiv.org/abs/1804.09878

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