研讨班报告

表示论研讨班:Morita classes of tame blocks of Hecke algebras of classical type

发布时间:2018-12-18

中科院数学与系统科学研究院

数学研究所

 

表示论研讨班

 

报告人:ARIKI, susumu (有木進)(Osaka University)

 Morita classes of tame blocks of Hecke algebras of classical type

  2018.12.18(星期二),10:00-11:00

  点:数学院南楼N820

  要:Since early days of the modular representation theory of Hecke algebras, it was observed that only one Morita equivalence class or one of two Morita equivalence classes appeared if a block algebra of Hecke algebras of type A was of finite or tame representation type. In this talk, I explain that this is true for other classical types assuming that the base field has an odd characteristic. The main tools for the proof are, Chuang-Rouquier sl(2) categorification applied to cyclotomic quiver Hecke algebras and tilting mutation.


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