Haoyun Yao

works on

braverman-kazhdan program 1 gamma factors 1 l-monoids 1 local langlands correspondence 1 non-archimedean local fields 1 schwartz spaces 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.NT2026

Schwartz spaces on L-monoids: non-Archimedean

Chun-Hsien Hsu, HaoYun Yao

The paper completes the Braverman‑Kazhdan‑Ngô program for non‑Archimedean local fields, assuming the local Langlands conjecture for tempered representations and a condition on γ‑fa…

math.NT2026

The $I ¨ $ -Fourier transform

Jayce R. Getz, Armando GutiÃ©rrez Terradillos, Farid Hosseinijafari +4

Let $G$ be a reductive group over a local field $F$ and let $I ¨ :^{L} G \to GL_{V_{I ¨} } (C)$ be a representation of its $L$ -group satisfying suitable assumptions. Brav…

math.NT2025

Modulation groups

Conjectures of Braverman and Kazhdan, NgÃ´ and Sakellaridis have motivated the development of Schwartz spaces for certain spherical varieties. We prove that under suitable assumpti…

math.NT2025

Triple product $L$ -functions and the Ramanujan conjecture

Jayce R. Getz, Heekyoung Hahn, HaoYun Yao

We prove that the Ramanujan conjecture is true under the assumption that the expected analytic properties of triple product $L$ -functions hold. Further, we explain how these analyt…

Schwartz spaces on L-monoids: non-Archimedean

The I¨-Fourier transform

Modulation groups

Triple product L-functions and the Ramanujan conjecture

The $I ¨ $ -Fourier transform

Triple product $L$ -functions and the Ramanujan conjecture