报告题目：Algebras with infinite dominant dimensions

报告摘要：In the representation theory and homological algebra of finite-dimensional algebras, the Nakayama conjecture has been an active area of research for decades since it was first proposed by Nakayama in 1958, which states that algebras of infinite dominant dimension are self-injective. This conjecture still remains open up to date. In this talk, we show that the conjecture is true for strong Morita, virtually Gorenstein algebras. The talk reports a recent work jointly with H. X. Chen.

报告人简介：惠昌常，首都师范大学数学科学学院特聘教授，博士生导师，教育部长江学者特聘教授。主要从事代数表示论的研究，在Compos. Math.,J. Reine Angew. Math., Math. Ann., Adv. Math., Proc London Math. Soc., Comm. Math. Phys.，Trans. Amer. Math. Soc., J. Algebra等国际著名期刊发表论文90余篇，曾以第一完成人获教育部科技进步二等奖、德国“年轻杰出学者洪堡奖”。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。现任《Journal of Algebra》、《Archiv der Mathematik》等国际学术杂志编委。

报告时间：2025年6月30日10：00-11:00

报告地点：同析4号楼412会议室