Geometric Langlands Duality for Periods
Abstract We study conjectures of Ben-Zvi–Sakellaridis–Venkatesh that categorify the relationship between automorphic periods and L -functions in the context of the Geometric Langlands equivalence. We provide evidence for these conjectures in some low-rank examples, by using derived Fourier analysis and the theory of chiral algebras to categorify the Rankin-Selberg unfolding method.
Authors
- Jonathan Wang (ORCID: https://orcid.org/0000-0003-2839-0699)
- Tony Feng (ORCID: https://orcid.org/0000-0002-5150-5733)
Institutions
- Perimeter Institute (CA)
- University of California, Berkeley (US)
Publication Details
- Journal
- Geometric and Functional Analysis
- Published
- 2025-02-06
- DOI
- https://doi.org/10.1007/s00039-025-00702-4
- Citations
- 2
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 7.38
Funders
- National Science Foundation