Representation type of blocks of cyclotomic Hecke algebras of type G(r,1,n)
数学公众报告(120周年校庆系列第79场)
报告题目(Title):Representation type of blocks of cyclotomic Hecke algebras of type G(r,1,n)
报告人(Speaker):李彦博 (东北大学秦皇岛分校)
地点(Place):后主楼1124
时间(Time):2023年3月17日(周五), 14:00 - 15:00
邀请人(Inviter):胡维
报告摘要
The cyclotomic Hecke algebras of type G(r,1,n) (Ariki-Koike algebra) were introduced by Ariki and Koike and independently by Broué and Malle, which include Hecke algebras of types A and B as special cases. They play an important role in modular representation theory of finite groups of Lie type, and are in relation with various significant objects, such as quantum groups and rational Cherednik algebras. It is a long-standing open problem to determine the representation type of blocks of a cyclotomic Hecke algebra. In this talk, we will present some development on this problem. This is a joint work with Xiangyu Qi.