报告问题 (Title)：Some new trends on the irreducible NIM Representation （不可约NIM体现的一些新趋势）

报告人 (Speaker)： 李立斌 教授（扬州大学）

报告时间 (Time)：2024年10月14日 (周一) 15:00-16:00

报告所在 (Place)：校本部GJ303

约请人(Inviter)：王卿文

主理部分：理学院数学系

报告摘要： The non-negative integer matrix (NIM) solutions of matrix equations are closely related to the NIM representations over fusion rings and the module categories over tensor categories. In this talk we shall introduce a general theory of irreducible NIM representations over near group fusion rings. We give the minimum upper the bound of rank of NIM representation over a near group fusion ring, and the general classification methods of irreducible NIM representations over near group fusion rings. We give explicitly the classifications of irreducible NIM representations over some near group fusion rings and introduce some new trends in this direction.