报告题目: Singularity categories and homological conjectures

报 告 人：惠昌常 教授（首都师范大学）

报告时间：2026年3月26日（星期四）上午8:30-9:30

报告地点：数学大楼912报告厅

参加人员：教师、研究生、本科生

报告摘要：The well-known fact that every finite-dimensional algebra over a field is isomorphic to the centralizer algebra of two matrices, suggests to study finite-dimensional algebras and their related topics by centralizer algebras of matrices. In this talk we investigate the centralizer algebra of one matrix, called a centralizer matrix algebra. We present a characterization of the equivalence of singularity categories of for centralizer matrix algebras. Moreover, we show that homological conjectures hold true for centralizer matrix algebras. This talk reports a work jointly with Zhenxian Chen.

报告人简介：首都师范大学教授，博士生导师，国家级人才；获德国“年轻杰出学者洪堡奖”、教育部科技进步二等奖；德国Bielefeld大学获博士学位。长期从事代数表示论及其相关课题的研究，在Adv Math, Compos Math, Proc Lond Math Soc, Sci China Math等重要国际期刊发表论文；任国际数学刊物《Journal of Algebra》、《Archiv der Mathematik》等编委。