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Seminars

Seminar in Representation Theory

Minimal reduction type, Kazhdan-Lusztig map and Affine Springer fibers

2025/04/17 (Thu.) 09:30~11:00
  • Date : 2025/04/17 (Thu.) 09:30~11:00
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Anlong Chua (MIT)
  • : Cheng-Chiang Tsai (AS)
  • Abstract : Let G be a connected reductive group with Lie algebra g and Weyl group W. Yun proved that a generic lift of a nilpotent orbit of g to g((t)) has a unique minimal reduction type. I will sketch this story and explain an extension to parahoric subgroups of G((t)). The proof uses affine Springer fibers and Yun's global Springer theory. I will sketch some ideas that appear. Finally, I will explain some connections to strata and cells.
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