10 citations · 35 across the 13 of their papers we have counts for
15 papers
Singularities of orbit closures in loop spaces of symmetric varieties II: twisted cases
Tsao-Hsien Chen, Lingfei Yi
We study the singularities of orbit closures in loop symmetric varieties, extending our previous work https://arxiv.org/abs/2310.20006 to the twisted setting. We prove that the IC…
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…
Quantization of Hitchin integrable system via positive characteristic
Roman Bezrukavnikov, Roman Travkin, Tsao-Hsien Chen +1
In a celebrated unpublished manuscript Beilinson and Drinfeld quantize the Hitchin integrable system by showing that the global sections of critically twisted differential operator…
On the cohomology of Fano varieties and the Springer correspondence
Tsao-Hsien Chen, Kari Vilonen, Ting Xue
In this paper we compute the cohomology of the Fano varieties of -planes in the smooth complete intersection of two quadrics in , using Springer theory for sy…
Hessenberg varieties, intersections of quadrics, and the Springer correspondence
Tsao-Hsien Chen, Kari Vilonen, Ting Xue
In this paper we introduce a certain class of families of Hessenberg varieties arising from Springer theory for symmetric spaces. We study the geometry of those Hessenberg varietie…
Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties
Tsao-Hsien Chen, Kari Vilonen, Ting Xue
In \cite{CVX3}, we have established a Springer theory for the symmetric pair . In this setting we obtain representations of (the Tits e…
A Formula for the Geometric Jacquet Functor and its Character Sheaf Analogue
Tsao-Hsien Chen, Alexander Yom Din
Let (G,K) be a symmetric pair over the complex numbers, and let X=K\G be the corresponding symmetric space. In this paper we study a nearby cycles functor associated to a degenerat…
Vinberg's -groups and rigid connections
Tsao-Hsien Chen
Let be a simple complex group of adjoint type. In his unpublished work, Z. Yun associated to each -group and a vector a flat -c…
Geometric Langlands in prime characteristic
Tsao-Hsien Chen, Xinwen Zhu
Let be a semisimple algebraic group over an algebraically closed field , whose characteristic is positive and does not divide the order of the Weyl group of , and let $\b…
Non-abelian Hodge theory for algebraic curves in characteristic p
Tsao-Hsien Chen, Xinwen Zhu
Let G be a reductive group over an algebraically closed field of positive characteristic. Let C be a smooth projective curve over k. We give a description of the moduli space of fl…