Geometric Langlands duality for periods
Number Theory
2025-06-25 v4 Algebraic Geometry
Representation Theory
Abstract
We study conjectures of Ben-Zvi--Sakellaridis--Venkatesh that categorify the relationship between automorphic periods and -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.
Cite
@article{arxiv.2402.00180,
title = {Geometric Langlands duality for periods},
author = {Tony Feng and Jonathan Wang},
journal= {arXiv preprint arXiv:2402.00180},
year = {2025}
}
Comments
Final version, appeared in GAFA