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math.NT2025
A relative trace formula identity for non-tempered spherical varieties
Chen Wan
In this paper, motivated by some previous works in residue method and the recent theory of the relative Langlands duality, we prove a relative trace formula identity that compares…
math.NT2024
Strongly tempered hyperspherical Hamiltonian spaces
Zhengyu Mao, Chen Wan, Lei Zhang
In this paper, we give a complete list of strongly tempered hyperspherical Hamiltonian spaces. We show that the period integrals attached to the list contains many previously studi…
math.NT2023
BZSV Duality for Some Strongly Tempered Spherical Varieties
Zhengyu Mao, Chen Wan, Lei Zhang
We propose two families of relative trace formula comparisons in the study of relative Langlands duality conjectured by Ben-Zvi--Sakellaridis--Venkatesh. This allows us to incorpor…