中央研究院數學研究所

Seminar in Representation Theory

Centers and centralizers in (double) affine Hecke algebras

2024/02/26 (Mon.) 11:00~12:00

日期 : 2024/02/26 (Mon.) 11:00~12:00
地點 : 中研院數學所 638研討室 (台大校區)
主講人 : Johnathan Gruber (University of York)
演講摘要 : 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.