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PreprintCC BY 4.0arXiv

Relative Langlands duality of the Bump-Friedberg-Ginzburg GSO6-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 GSO6 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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Cite

BibTeXRIS
BibTeX
@misc{cauchi2026relative,
  title = {{Relative Langlands duality of the Bump-Friedberg-Ginzburg $\mathrmGSO_6$-integral}},
  author = {Antonio Cauchi and Eric Yen-Yo Chen and Armando Gutierrez Terradillos},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.30576},
  eprint = {2608.30576},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.30576},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Relative Langlands duality of the Bump-Friedberg-Ginzburg GSO_6-integral
AU  - Antonio Cauchi
AU  - Eric Yen-Yo Chen
AU  - Armando Gutierrez Terradillos
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.30576
UR  - https://arxiv.org/abs/2608.30576
AB  - We provide a new instance of singular relative Langlands duality, underlying a Rankin-Selberg integral on 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.
ER  -