Guodong Xi

collaborators

3 papers

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

Periods detecting Eisenstein series and sums of $L$ -values I

Weixiao Lu, Guodong Xi

We study the automorphic period associated to a $G$ -Hamiltonian variety $M$ whose dual is $M ˇ = T^{*} (G ˇ / L ˇ)$ , where $G ˇ$ is a general linear group and $\…

math.RT2025

On the relative Langlands duality for $Sp_{2 n} \ GL_{2 n + 1}$ (with an appendix by Zeyu Wang)

Weixiao Lu, Zeyu Wang, Guodong Xi

We verify the relative Langlands duality conjecture proposed by Ben-Zvi, Sakellaridis, Venkatesh for the hyperspherical Hamiltonian variety $T^*(\operatorname{Sp}_{2n}\backslash \o…

The I¨-Fourier transform

Periods detecting Eisenstein series and sums of L-values I

On the relative Langlands duality for Sp2n​\GL2n+1​ (with an appendix by Zeyu Wang)

The $I ¨ $ -Fourier transform

Periods detecting Eisenstein series and sums of $L$ -values I

On the relative Langlands duality for $Sp_{2 n} \ GL_{2 n + 1}$ (with an appendix by Zeyu Wang)