ncku-talk2023-05-04

Colloquium

DATE 2023-05-04　16:10-17:00

PLACE 數學系館 1F3174教室

SPEAKER 劉士瑋博士（中央研究院數學研究所）

TITLE Affine Hecke Algebras and Double Affine Hecke Algebras

ABSTRACT In the Lie theory, the combinatorics and the geometry of Weyl groups are of great importance. They appear notably in the Weyl character formula, the Harish-Chandra isomorphism, and the Schur–Weyl duality. The affine Weyl groups are important for affine Lie algebras for the same reason.
The Iwahori–Hecke algebras, deformations of Weyl groups, are omnipresent in the representation theory. The main objects of the talk are affine Hecke algebras, which are deformations of affine Weyl groups, and double affine Hecke algebras, deformations of double affine Weyl groups.
In this talk, I will explain how these objects arise and what applications they have in Lie theory.

Colloquium

DATE	2023-05-04　16:10-17:00

PLACE	數學系館 1F3174教室

SPEAKER	劉士瑋博士（中央研究院數學研究所）

TITLE	Affine Hecke Algebras and Double Affine Hecke Algebras

ABSTRACT	In the Lie theory, the combinatorics and the geometry of Weyl groups are of great importance. They appear notably in the Weyl character formula, the Harish-Chandra isomorphism, and the Schur–Weyl duality. The affine Weyl groups are important for affine Lie algebras for the same reason. The Iwahori–Hecke algebras, deformations of Weyl groups, are omnipresent in the representation theory. The main objects of the talk are affine Hecke algebras, which are deformations of affine Weyl groups, and double affine Hecke algebras, deformations of double affine Weyl groups. In this talk, I will explain how these objects arise and what applications they have in Lie theory.