Geometric Langlands duality for periods

Published 31 Jan 2024 in math.NT, math.AG, and math.RT | (2402.00180v4)

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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