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math.RT2023
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.RT2023
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…