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Geometric Langlands Duality for Periods
Abstract We study conjectures of Ben-Zvi–Sakellaridis–Venkatesh that categorify the relationship between automorphic periods andL-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.
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- Award ID(s):
- 2302520
- PAR ID:
- 10628125
- Publisher / Repository:
- Springer
- Date Published:
- Journal Name:
- Geometric and Functional Analysis
- Volume:
- 35
- Issue:
- 2
- ISSN:
- 1016-443X
- Page Range / eLocation ID:
- 463 to 541
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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