代数与表示论讨论班

报告题目：Auslander-Reiten theory via Nakayama duality in Abelian categories

报告人：刘石平（Université de Sherbrooke, Canada，教授）

时间：2026年7月22日，14:00

地点：海纳苑2幢204

摘要：Using the Nakayama duality induced by a Nakayama functor, we provide a novel and concise account of the existence of Auslander-Reiten dualities and almost split sequences in abelian categories with enough projective objects or enough injective objects. As an example, we establish the existence of almost split sequences ending with finitely presented modules and those starting with finitely copresented modules in the category of all modules over a small endo-local Hom-reflexive category. Specializing to algebras given by (not necessarily finite) quivers with relations, we further investigate when the categories of finitely presented modules, finitely copresented modules and finite dimensional modules have almost split sequences on either or both sides. 

联系人：李方（fangli@zju.edu.cn）