报告人：惠昌常
报告地点：人民大街校区数学与统计学院104室
报告时间：2025年11月14日星期五9:30-10:30
邀请人：扶先辉
报告摘要：
As is known, every finite-dimensional algebra over a field is isomorphic to the centralizer algebra of two matrices. This gives a different view point to look at general finite-dimensional algebras and related topics. It is fundamental to consider first the centralizer algebra of one matrix, called a centralizer matrix algebra. In this talk we study the stable equivalences of centralizer matrix algebras. One of the major problems is to decide when such two algebras are stably equivalent. We shall present a complete characterization of stable equivalences for centralizer matrix algebras. This talk reports a work jointly with Xiaogang Li.
主讲人简介：
惠昌常，首都师范大学数学科学学院教授、博士生导师，国家级高层次领军人才。获教育部科技进步二等奖，德国“年轻杰出学者洪堡奖”。2013年获批主持国家自然科学基金重点项目。主要研究领域为代数表示论和同调代数, 在同调维数、胞腔代数、拟遗传代数、Brauer代数、导出等价和稳定等价、无限倾斜理论等方面取得了出色的成绩。在《Adv. Math.》、 《Proc. Lond. Math. Soc.》、《Trans. Amer. Math. Soc.》、《Math. Z.》、《Israel J. Math.》、《J. Algebra》等杂志发表80余篇论文，并担任《J. Algebra》、《Arch. Math.》等杂志编委。
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