报告人:王周 副教授
报告题目:Leavitt path algebras and Leavitt semigroups of separated graphs
报告时间:2026年3月29日上午8:45-9:25
报告地点:云龙校区6号楼304报告厅
主办单位:数学与统计学院、数学研究院、科学技术研究院
报告人简介:
王周,东南大学数学学院副教授,加州大学伯克利分校数学系博士后,美国《数学评论》评论员,江苏省数学会理事。研究领域是环模理论和同调代数,成果发表在J. Algebra,J. Pure Appl. Algebra,Linear Algebra Appl.等杂志上。主持国家自然科学基金面上项目、国家自然科学基金青年项目、教育部高校博士点新教师基金等。主持国家级一流本科课程1门,多次获东南大学“吾爱吾师-最受欢迎老师”等。
报告摘要:
In this talk, we first introduce Non-IBN (Invariant Basis Number) property of rings, and construct of Leavitt K-algebras of type (m, n) by Leavitt path algebras of separated graphs. Then we present a necessary and sufficient condition for Leavitt path algebras of separated graphs to be finite dimensional, and give a structural characterization of finite-dimensional Leavitt path algebras of separated graphs. Finally, we discuss the relations among separated graphs, Leavitt semigroups and Leavitt path algebras. This is a joint work with Qingqing Pan and Zeyuan Hou.