报告题目：Stable equivalences of centralizer matrix algebras

报告人：惠昌常 教授，首都师范大学

时间：2023年3月3日（星期五）16：30-17：30

地点：管理科研楼1418

摘要：In the representation theory of algebras and groups, stable equivalences have been investigated for a long time. They are, however,  still remain mysterious. One of the main conjectures on stable equivalences is the Auslander-Reiten (or Auslander-Alperin) conjecture which states that two stably equivalent algebras should have the same number of non-isomorphic, non-projective simple modules. This conjecture is open up to date. In this talk, we will show that the Auslander-Reiten conjecture on stable equivalences holds true for a class of centralizer matrix algebras over algebraically closed field and reveal 3 new invariants of stable equivalences of Artin algebras. This talk presents a joint work with J.B. Zhang.

报告人简介：惠昌常，首都师范大学数学科学学院特聘教授、博士生导师，教育部长江学者特聘教授。曾获教育部科技进步二等奖，德国洪堡基金会Bessel研究奖，任国际知名杂志 Journal of Algebra以及Archiv der Mathematik编委。