3 citations · 5 across the 3 of their papers we have counts for
7 papers
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…
Real and symmetric matrices
Tsao-Hsien Chen, David Nadler
We construct a family of involutions on the space of matrices with real eigenvalues interpolating the complex conjugation and the transpos…
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 -Bessel sheaves on reductive groups in both -adic and de Rham settings. We do…
On the Hitchin morphism for higher dimensional varieties
Tsao-Hsien Chen, Ngo Bao Chau
In this paper, we explore the structure of the Hitchin morphism for higher dimensional varieties. We show that the Hitchin morphism factors through a closed subscheme of the Hitchi…
A vanishing conjecture: the GL_n case
Tsao-Hsien Chen
In this article we propose a vanishing conjecture for a certain class of -adic complexes on a reductive group , which can be regraded as a generalization of the acyclicity…
On the Hitchin fibration for algebraic surfaces
Tsao-Hsien Chen, Ngo Bao Chau
In this paper, we explore the structure of the Hitchin map for higher dimensional varieties with emphasis on the case of algebraic surfaces.