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Schurification of Quantum wreath products

김선우 0 144
구분 초청강연
일정 2025-10-21 15:00 ~ 17:00
강연자 Chun-Ju Lai (Academia Sinica)
기타
담당교수 권재훈
강의 일시: 10월 21일(화) 오후 3시~5시
장소: 129동 104호 

강의 제목Schurification of Quantum wreath products
연사: Chun-Ju Lai (Academia Sinica)
초록:
The quantum wreath product is a simultaneous construction which emcompasses the Ariki-Koike algebras, variants of the affine Hecke algebras, Vigneras' pro-p Iwahori-Hecke algebras, as well as certain non-trivial deformation of group algebras of wreath products that are not even Coxeter groups. I'll speak on a unified approach to the Schur-Weyl duality of certain quantum wreath products, and its applications to (1) identifying the imaginary strata of affine KLR algebras, (2) the Ginzburg-Guay-Opdam-Rouquier conjecture on constructing highest weight 1-covers, (3) the computation of pro-p Iwahori component of Gelfand-Graev representation for metaplectic covers, and (4) a new limit construction of quantum groups for quantum wreath products.

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