报告题目: A few new equivalence relations on all square matrices

报告人:惠昌常

报告时间: 2024年11月1日 15:00-17:00

报告地点:数学与统计学院四楼会议室

专家简介:

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，博士毕业于联邦德国Bielefeld大学；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、代数K-理论等学科取得了出色的研究成果, 在Adv.Math、J.Rein Ang.Math、Proc.LMS、Tran AMS、Math.Ann、Comm.Math.Phys.、Sci.China Math.等国际数学刊物发表论文90多篇，多次在国际代数学术会议作大会报告、主持和参加国家自然科学基金重点项目；任《Journal of Algebra》、《Archiv der Mathematik》等国际数学杂志编委。

主讲内容:

In this talk, a few new equivalence relations are introduced for all square matrices over a field. This is given by elementary divisors of matrices. With these equivalence relations in hand, Morita and derived equivalences of the centralizer matrix algebras are characterized. Thus the study of categorical equivalences are reduced to that of problems in linear algebra. For more details, we refer to a recent work jointly with X.G. Li, see arXiv:2312.08794.

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