Tsao-Hsien Chen

activity

20242026

collaborators

4 papers

math.RT2026

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…

math.RT2026

A relative Langlands dual realization of $T^{*} (G / K)$ and derived Satake

Tsao-Hsien Chen

We show that the cotangent bundle $T^{*} (G / K)$ of a quasi-split symmetric space $G / K$ is isomorphic to the dual variety of the loop symmetric space for the Langlands dual group, prov…

math.RT2025

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…

math.RT2024

Functorial transfer for reductive groups and central complexes

Tsao-Hsien Chen

A class of Weyl group equivariant $ℓ$ -adic complexes on a torus, called the central complexes, was introduced and studied in our previous work on Braverman-Kazhdan conjecture. I…

Matsuki duality for loop groups

A relative Langlands dual realization of T∗(G/K) and derived Satake

Singularities of orbit closures in loop spaces of symmetric varieties

Functorial transfer for reductive groups and central complexes

A relative Langlands dual realization of $T^{*} (G / K)$ and derived Satake