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arXiv · 2608.30576

Relative Langlands duality of the Bump-Friedberg-Ginzburg $\mathrm{GSO}_6$-integral

Antonio Cauchi·Eric Yen-Yo Chen·Armando Gutierrez Terradillos
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Abstract

We provide a new instance of singular relative Langlands duality, underlying a Rankin-Selberg integral on $\mathrm{GSO}_6$ due to Bump-Friedberg-Ginzburg. We conclude that this integral represents an essentially self-dual object in the relative Langlands program, and we demonstrate that the Langlands dual automorphic integral computes a finite sum of $L$-functions, reflecting stacky structure on the spectral side.

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Antonio Cauchi, Eric Yen-Yo Chen, Armando Gutierrez Terradillos. 2026-08-31. Relative Langlands duality of the Bump-Friedberg-Ginzburg $\mathrm{GSO}_6$-integral. https://arxiv.org/abs/2608.30576

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