3 papers
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.RT2025
An explicit local geometric Langlands for supercuspidal representations: the toral case
Lingfei Yi
We formulate a conjecture on local geometric Langlands for supercuspidal representations using Yu's data and Feigin-Frenkel isomorphism. We refine our conjecture for a large family…
math.RT2024
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…