Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.30576

Authors: Cauchi, Antonio, Chen, Eric Yen-Yo, Terradillos, Armando Gutierrez

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204886696

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