Zhaolin Li

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20232025

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math.NT2025

Fundamental Lemma for Rank One Spherical Varieties of Classical Types

Zhaolin Li

According to the relative Langlands functoriality conjecture, an admissible morphism between the $L$ -groups of spherical varieties should induce a functorial transfer of the corres…

math.NT2024

On the Braverman-Kazhdan-Ngo Triples

Dihua Jiang, Zhaolin Li, Guodong Xi

In the Braverman-Kazhdan proposal and certain refinement of Ngo for automorphic $L$ -functions, the reductive group $G$ and the representations $ρ$ of the Langlands dual group $G^\v…

math.NT2024

Beyond Endoscopy: Poisson Summation Formula and Kuznetsov Trace Formula on $GL_{2}$

Zhaolin Li

In the first part of this paper, we present a direct proof of a Poisson summation formula on the Whittaker space of $GL_{2}$ , which underlies the local Hankel transform comp…

Fundamental Lemma for Rank One Spherical Varieties of Classical Types

On the Braverman-Kazhdan-Ngo Triples

Beyond Endoscopy: Poisson Summation Formula and Kuznetsov Trace Formula on GL2​

Beyond Endoscopy: Poisson Summation Formula and Kuznetsov Trace Formula on $GL_{2}$