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math.RT2026
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…
math.RT2026
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…
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…