报告题目: Abelian quotients of the categories of short exact sequences

报告人： 林增强 教授，华侨大学

时间: 3月14日, 10:00-11:00 

     3月15日, 14:30-15:30

地点： 管理科研楼1518教室

摘要: We investigate abelian quotients of the categories of short exact sequences. The natural

framework to consider the question is via identifying quotients of morphism categories as

module categories. In the first talk, I will provide techniques needed for such identifications. These

ideas not only can be used to recover the abelian quotients produced by cluster-tilting subcategories

of both exact categories and triangulated categories, but also can be used to reach our goal. In the

second talk, I will focus on the properties of the abelian quotients. I will describe the abelian structure,

simple objects, projective objects and injective objects, which provide a new viewpoint to

understand Hilton-Rees Theorem and Auslander-Reiten theory.