6 papers · 1 filter
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…
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…
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…
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…
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…