GAAG seminar - Centers and centralizers in (double) affine Hecke algebras.

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Event details

Date 02.10.2024
Hour 10:1511:15
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

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