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20182026
most citedPeriods of Automorphic Forms Associated to Strongly Tempered Spherical Varieties

1 citations · 1 across the 7 of their papers we have counts for

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7 papers

math.RT2026

Anomaly-free Hyperspherical Hamiltonian spaces for simple reductive groups

Guodong Tang, Chen Wan, Lei Zhang

In this paper, we provide a complete list of anomaly-free hyperspherical Hamiltonian spaces for simple reductive groups, as well as their conjectural dual spaces in the sense of BZ…

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…

math.RT2023

A Conjecture for Multiplicities of Strongly Tempered Spherical Varieties

Chen Wan, Lei Zhang

In this paper, we form a conjecture about the multiplicities of all the strongly tempered spherical varieties without Type N root for tempered representations. This generalizes the…

math.RT2022

Multiplicities for Strongly Tempered Spherical Varieties

Chen Wan, Lei Zhang

In this paper, we study the local multiplicity of 10 strongly tempered spherical varieties. We will formulate a uniform epsilon dichotomy conjecture for all these models regarding…

math.NT2021★ 1 cited

Periods of Automorphic Forms Associated to Strongly Tempered Spherical Varieties

Chen Wan, Lei Zhang

In this paper, we compute the local relative character for 10 strongly tempered spherical varieties in the unramified case. We also study the local multiplicity for these models. B…

math.RT2018

The multiplicity problems for the unitary Ginzburg-Rallis models

Chen Wan, Lei Zhang

We consider the local multiplicity problems of the analogy of the Ginzburg-Rallis model for the unitary group and the unitary similitude group cases. For the unitary similitude gro…