3 citations · 3 across the 3 of their papers we have counts for
6 papers
Quaternionic Satake equivalence
Tsao-Hsien Chen, Mark Macerato, David Nadler +1
We establish a derived geometric Satake equivalence for the quaternionic general linear group GL_n(H). By applying the real-symmetric correspondence for affine Grassmannians, we ob…
Drinfeld-Gaitsgory functor and Matsuki duality
Tsao-Hsien Chen
Let G be a connected complex reductive group and let K be a symmetric subgroup of G. We prove a formula for the Drinfeld-Gaitsgory functor for the dg-category of K-equivariant shea…
Real and symmetric quasi-maps
Tsao-Hsien Chen, David Nadler
Let be a real reductive group and let be the corresponding complex symmetric variety under the Cartan bijection. We construct a stratified homeomorphism between t…
Affine Matsuki correspondence for sheaves
Tsao-Hsien Chen, David Nadler
We lift the affine Matsuki correspondence between real and symmetric loop group orbits in affine Grassmannians to an equivalence of derived categories of sheaves. In analogy with t…
Non-linear Fourier transforms and the Braverman-Kazhdan conjecture
Tsao-Hsien Chen
In this article we prove a conjecture of Braverman-Kazhdan in \cite{BK} on the acyclicity of gamma sheaves in the de Rham setting. The proof relies on the techniques developed in \…
Springer correspondence for the split symmetric pair in type
Tsao-Hsien Chen, Kari Vilonen, Ting Xue
In this paper we establish Springer correspondence for the symmetric pair using Fourier transform, parabolic induction functor, and a nearby cycle…