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)
题 目：Morita classes of tame blocks of Hecke algebras of classical type
时 间：2018.12.18（星期二），10:00-11:00
地 点：数学院南楼N820室
摘 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.