Tsao-Hsien Chen

activity

20122024

most citedOn the Hitchin fibration for algebraic surfaces

3 citations · 5 across the 4 of their papers we have counts for

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6 papers · 1 filter

math.RT2024

Lorentzian and Octonionic Satake equivalence

Tsao-Hsien Chen, John O'Brien

We establish a derived geometric Satake equivalence for the real group $G_{R} = P S O (2 n - 1, 1)$ (resp. $P E_{6} (F_{4})$ ), to be called the Lorentzian Satake equivalence (resp. Octoni…

math.RT2021★ 2 cited

Invariant theory for the commuting scheme of symplectic Lie algebras

Tsao-Hsien Chen, Ngo Bao Chau

We prove the Chevalley restriction theorem for the commuting scheme of symplectic Lie algebras. The key step is the construction of the inverse map of the Chevalley restriction map…

math.RT2020

Real and symmetric matrices

Tsao-Hsien Chen, David Nadler

We construct a family of involutions on the space $gl_{n}^{'} (C)$ of $n \times n$ matrices with real eigenvalues interpolating the complex conjugation and the transpos…

math.RT2019

On the conjectures of Braverman-Kazhdan

Tsao-Hsien Chen

In this article we prove a conjecture of Braverman and Kazhdan in \cite{BK1} on acyclicity of $ρ$ -Bessel sheaves on reductive groups in both $ℓ$ -adic and de Rham settings. We do…

math.RT2019

A vanishing conjecture: the GL_n case

Tsao-Hsien Chen

In this article we propose a vanishing conjecture for a certain class of $ℓ$ -adic complexes on a reductive group $G$ , which can be regraded as a generalization of the acyclicity…

math.RT2012

Twisted global section functor for D-modules on affine Grassmannian

Tsao-Hsien Chen, Giorgia Fortuna

For each integral dominant weight $λ$ , we construct a twisted global section functor $Γ^{λ}$ from the category of critical twisted $D$ -modules on affine Grassmannian to the category…