SMS scnews item created by Catherine Meister at Wed 29 Jan 2025 1501
Type: Seminar
Modified: Fri 31 Jan 2025 1039
Distribution: World
Expiry: 12 Feb 2025
Calendar1: 31 Jan 2025 1200-1300
CalLoc1: SMRI Seminar Room (Macleay Building A12 Room 301)
CalTitle1: Centers and centralizers in affine Hecke algebras
Auth: [email protected] (cmei0631) in SMS-SAML
Algebra Seminar: Gruber -- Centers and centralizers in affine Hecke algebras
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.