报告题目：Singular equivalences and the Auslander-Reiten conjecture

报告人：陈一萍 教授（武汉大学）

摘要：Let k be a field, and A be a finite dimensional k-algebra. The Auslander-Reiten conjecture (or generalized Nakayama conjecture) says that every finitely generated left A-module M with A+M being orthogonal should be projective. The conjecture is still open now, and plays a central role in the representation theory of algebras. And it is closely connected with the celebrated Nakayama conjecture and the finitistic dimension conjecture.
In this talk, we will discuss this behaviors of this conjecture under certain singular equivalences induced by adjoint pairs. As an application, we prove that this conjecture holds for all skew-gentle algebras (J. Algebra 623 (2023), 42-63 and arXiv: 2212.06467).

报告时间：2023年3月17日（周五）下午2:00-3:00

线下报告地点：校本部教学2楼613教室

联系人：惠昌常/陈红星