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arXiv · 2409.04677

Relative Langlands Duality

David Ben-Zvi·Yiannis Sakellaridis·Akshay Venkatesh
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Abstract

We propose a duality in the relative Langlands program. This duality pairs a Hamiltonian space for a group $G$ with a Hamiltonian space under its dual group $\check{G}$, and recovers at a numerical level the relationship between a period on $G$ and an $L$-function attached to $\check{G}$; it is an arithmetic analog of the electric-magnetic duality of boundary conditions in four-dimensional supersymmetric Yang-Mills theory.

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David Ben-Zvi, Yiannis Sakellaridis, Akshay Venkatesh. 2024-09-07. Relative Langlands Duality. https://arxiv.org/abs/2409.04677

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