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arXiv · 2401.06624

Generalised Whittaker models as instances of relative Langlands duality II: Plancherel density and global periods

Wee Teck Gan·Bryan Peng Jun Wang
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Abstract

In an earlier paper of the authors, a general family of instances of the relative Langlands duality of Ben-Zvi-Sakellaridis-Venkatesh [BZSV] were proposed and studied in the setting of branching problems for smooth representations. In this paper, we show the numerical conjectures of [BZSV] for the local Plancherel density, as well as an application to their conjectures on global periods, for this general family of instances.

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Wee Teck Gan, Bryan Peng Jun Wang. 2024-01-12. Generalised Whittaker models as instances of relative Langlands duality II: Plancherel density and global periods. https://arxiv.org/abs/2401.06624

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