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Seminars

Seminar in Representation Theory

Bases in Equivariant K-theory

2026/07/30 (Thu.) 10:00~11:30
  • Date : 2026/07/30 (Thu.) 10:00~11:30
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Wei Tsao (University of Minnesota)
  • Organizer : Cheng-Chiang Tsai (AS)
  • Abstract :
    In this talk, I will discuss the Kazhdan–Lusztig isomorphism and Lusztig’s construction of canonical bases in equivariant K-theory. The former gives a geometric realization of the extended affine Hecke algebra in terms of the equivariant K-theory of the Steinberg variety. Through this isomorphism, the canonical basis of the periodic module for the extended affine Hecke algebra can be realized on the K-theoretic side. If time permits, I will also discuss the conjectural generalization to Springer fibers associated with arbitrary nilpotent elements. The talk is mainly based on Lusztig’s paper Bases in Equivariant K-Theory.
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