报告题目：Study representations of algebras by centralizer algebras of matrices

报 告 人：惠昌常 教授（首都师范大学）

报告时间：2026年3月6日（星期五）10:00—11:00

报告地点：数学科学学院114（小报告厅）

校内联系人：王起 副教授         联系方式：84708351-8501

报告摘要：The fact that every finite-dimensional algebra over a field is isomorphic to the centralizer algebra of two matrices, suggests to study finite-dimensional algebras by centralizer algebras of matrices. In this talk we will investigate representation-theoretical problems of finite-dimensional algebras from this new point of view. The first fundamental question is to consider the centralizer algebra of one single matrix, called a centralizer matrix algebra. We study stable equivalences of centralizer matrix algebras and establish a complete characterization of stable equivalences for such algebras. The contents of this talk are taken from a joint work with Xiaogang Li. See arXiv:2511.19051 for more details.

报告人简介：惠昌常，首都师范大学特聘教授，博士生导师，长江学者特聘教授；曾获教育部科技进步二等奖、德国“年轻杰出学者洪堡奖”。在代数表示论、同调代数、导出范畴与代数K-理论等领域取得了系统而有影响力的成果，在 Adv. Math.、J. Reine Angew. Math.、Math. Ann.、Compos. Math.、Proc. Lond. Math. Soc.、Comm. Math. Phys.、Trans. Amer. Math. Soc.、J. Algebra、Sci. China Math. 等国际学术期刊发表论文90余篇。多次在国际代数学术会议作大会报告，主持和参与国家自然科学基金重点项目。现任《Journal of Algebra》、《Archiv der Mathematik》等国际数学期刊编委。