GAAG seminar - Centers and centralizers in (double) affine Hecke algebras.
Event details
| Date | 02.10.2024 |
| Hour | 10:15 › 11:15 |
| Speaker | Jonathan Gruber (Erlangen) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
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.
Practical information
- Informed public
- Free
Contact
- Laetitia Al-Sulaymaniyin