报告题目 (Title)：稳定等价的新不变量与Alperin-Auslander猜想
New invariants of stable equivalences and Alperin–Auslander conjecture
报告人 (Speaker)：惠昌常（首都师范大学）
报告时间 (Time)：2026年5月7日(周四) 14:30
报告地点 (Place)：校本部F309
邀请人(Inviter)：张红莲
报告摘要：The not yet solved Alperin–Auslander/Auslander–Reiten conjecture, 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 homological invariants of stable equivalences of algebras. The talk reports parts of a joint work with Jinbi Zhang in Math. Ann. 394(4)(2026).