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Seminars

Seminar in Representation Theory

Centers and centralizers in (double) affine Hecke algebras

2024/02/26 (Mon.) 11:00~12:00
  • Date : 2024/02/26 (Mon.) 11:00~12:00
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Johnathan Gruber (University of York)
  • Abstract : The affine Hecke algebra and its center are important objects of study in combinatorial, geometric and categorical representation theory. In this talk, I will discuss a new commutative subalgebra of the affine Hecke algebra of type A, which arises from a centralizer construction in the double affine Hecke algebra. This subalgebra contains the center, and it admits a canonical basis akin to the Kazhdan-Lusztig basis of the affine Hecke algebra. I will explain how the canonical basis can be used as a tool to compute composition multiplicities in Gaitsgory's central sheaves on affine flag manifolds.
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