j9九游会

报告问题 (Title)：New invariants of stable equivalences and Alperin–Auslander conjecture

（稳固等价的新稳固量与Alperin-Auslander意料）

报告人 (Speaker)：惠昌常 教授（首都师范大学）

报告时间 (Time)：2026年5月7日（周四）14:30

报告所在 (Place)：校本部F309

约请人(Inviter)：张红莲教授

主理部分：理学院数学系

报告摘要：The not yet solved Alperin–Auslander/Auslander–Reiten conjec

ture, in the representation theory of algebras and groups, states that the

number of non-isomorphic, non-projective simple modules of an algebra is

invariant under stable equivalences of algebras. In this talk, we show that

the conjecture is valid for two classes of algebras: the centralizer matrix

algebras and Frobenius-finite algebras. Moreover, we show some new ho

mological invariants of stable equivalences of algebras. The talk reports

parts of a joint work with Jinbi Zhang in Math. Ann. 394(4)(2026).