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Mathematics > Number Theory
Title: Geometric Langlands duality for periods
(Submitted on 31 Jan 2024 (v1), last revised 25 Mar 2024 (this version, v2))
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.
Submission history
From: Tony Feng [view email][v1] Wed, 31 Jan 2024 21:16:55 GMT (67kb)
[v2] Mon, 25 Mar 2024 19:19:16 GMT (67kb)
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