Abstract: | 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. |