10 citations · 20 across the 14 of their papers we have counts for
17 papers
Loop spaces, twistor and tempiric parameters
Tsao-Hsien Chen, Lingfei Yi
We establish bijections among spherical orbits on loop symmetric spaces, principal bundles on the twistor , and tempiric Langlands parameters. Using Vogan's theory of…
Matsuki duality for loop groups
Tsao-Hsien Chen, Lingfei Yi
We establish versions of Matsuki duality for loop groups. The main result is a bijection between symmetric loop group orbits and real polynomial loop group orbits on the affine Gra…
A relative Langlands dual realization of and derived Satake
Tsao-Hsien Chen
We show that the cotangent bundle of a quasi-split symmetric space is isomorphic to the dual variety of the loop symmetric space for the Langlands dual group, prov…
Functorial transfer for reductive groups and central complexes
Tsao-Hsien Chen
A class of Weyl group equivariant -adic complexes on a torus, called the central complexes, was introduced and studied in our previous work on Braverman-Kazhdan conjecture. I…
Lorentzian and Octonionic Satake equivalence
Tsao-Hsien Chen, John O'Brien
We establish a derived geometric Satake equivalence for the real group (resp. ), to be called the Lorentzian Satake equivalence (resp. Octoni…
Geometric Langlands for Irregular Theta Connections and Epipelagic Representations
Tsao-Hsien Chen, Lingfei Yi
From a stable vector of a stable grading on a simple Lie algebra, Yun defined a rigid automorphic datum that encodes a epipelagic representation, and also an irregular connection o…
Real groups, symmetric varieties and Langlands duality
Tsao-Hsien Chen, David Nadler
Let be a connected real reductive group and let be the corresponding complex symmetric variety under the Cartan bijection. We construct a canonical equivalence be…
Singularities of orbit closures in loop spaces of symmetric varieties
Tsao-Hsien Chen, Lingfei Yi
We study the singularities of closures of Iwahori orbits on loop spaces of symmetric varieties extending the celebrated work of Lusztig-Vogan to the affine setting. We show that th…
Towards the depth zero stable Bernstein center conjecture
Tsao-Hsien Chen
Let be a split connected reductive group over a non-archimedan local field . The depth zero stable Bernstein conjecture asserts that there is an algebra isomorphism between…
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.
On the Casselman-Jacquet functor
Tsao-Hsien Chen, Dennis Gaitsgory, Alexander Yom Din
We study the Casselman-Jacquet functor , viewed as a functor from the (derived) category of -modules to the (derived) category of -modules,…
Twisted global section functor for D-modules on affine Grassmannian
Tsao-Hsien Chen, Giorgia Fortuna
For each integral dominant weight , we construct a twisted global section functor from the category of critical twisted -modules on affine Grassmannian to the category…