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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. |