数学与统计学院学术沙龙——代数与数论团队第四期活动公告

发布单位:数学与统计学院编辑:郭帅发布时间:2018-11-06浏览量:10

报告题目:Minimal right determiners of irreducible morphisms in tree string algebras

报告地点:2018年11月8日(周四)上午10:00-11:00

报告地点:尚贤楼108

报告人:吴笑醒博士

主持人:张孝金副教授

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报告人摘要: Auslander and Reiten established the representation theory of artin algebras for the categories of finitely generated modules in a series of papers concerning almost split sequences. Their theory provides a convenient way to visualise finite dimensional algebras and their modules. We can actually calculate the indecomposable modules and the homomorphisms between them in algebras of representation-finite type and part of representation-infinite type.In order to classify a certain class of morphisms ending with the same object as well as to generalize almost split morphisms, Auslander introduced the notion of functors and morphisms determined by objects. He proved that a morphism right determined by a module is a generalization of a right almost split morphism. This theory is very important, useful and studied by algebraists such as C.M. Ringel and H. Krause. We continued on our previous work in the algebras of Dynkin type A to study the set of (representative of the isomorphism classes of) the minimal right determiners of all irreducible morphisms between indecomposable modules in the category of finitely generated modules over tree string algebras. 

报告人简介:吴笑醒,2012-2017年于南京大学数学系硕博连读,导师为黄兆泳教授。2017年12月至今在南京信息工程大学数学与统计学院任教,主要研究方向为同调代数与代数表示论,在Journal of Algebra上发表过学术论文。

数学与统计学院

2018年11月6日