- Date: 2025-10-21 (Tue) 15:00 ~ 16:00
- Place: 129 - 104 (서울대학교)
- Speaker: Chun-Ju Lai (Academia Sinica)
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TiTle: Schurification of Quantum wreath products
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Abstract: 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.