Binyong Sun

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20242026

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math.RT2026

Betti-Whittaker periods of the contragredient representations for $GL (n)$

Yubo Jin, Dongwen Liu, Binyong Sun

We define Betti-Whittaker periods for a broad class of cohomological automorphic representations and establish a relation between the periods associated with these representations…

math.RT2025

Hausdorffness of certain nilpotent cohomology spaces

Fabian Januszewski, Binyong Sun, Hao Ying

Let $(I ¨ , V)$ be a smooth representation of a compact Lie group $G$ on a quasi-complete locally convex complex topological vector space. We show that the Lie algebra cohomology spac…

math.RT2024

Archimedean period relations for Rankin-Selberg convolutions

Yubo Jin, Dongwen Liu, Binyong Sun

We formulate and prove the archimedean period relations for Rankin-Selberg convolutions of $GL (n) \times GL (n)$ and $GL (n) \times GL (n - 1)$ , for all generi…

Betti-Whittaker periods of the contragredient representations for GL(n)

Hausdorffness of certain nilpotent cohomology spaces

Archimedean period relations for Rankin-Selberg convolutions

Betti-Whittaker periods of the contragredient representations for $GL (n)$