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arXiv · 2402.00180

Geometric Langlands duality for periods

Tony Feng·Jonathan Wang
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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.

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Tony Feng, Jonathan Wang. 2024-01-31. Geometric Langlands duality for periods. https://arxiv.org/abs/2402.00180

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