报告题目:Algebras with infinite dominant dimensions
报告人:惠昌常 教授(首都师范大学)
会议时间:2025年7月9日 10:00开始
会议地点:色情网
305报告厅
摘要:One of the major conjectures in representation theory and homological algebra of finite-dimensional algebras is the Nakayama conjecture which states that algebras of infinite dominant dimension are self-injective. This was proposed in 1958 and still remains open. 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:惠昌常教授于1989年在德国Bielefeld大学获博士学位,师从国际著名代数学家Ringel教授。回国后,先后在北京师范大学和首都师范大学任教授和博导。现为首都师范大学特聘教授。曾获教育部科技进步二等奖、德国“年轻杰出学者洪堡奖”。多次主持国家自然科学基金面上项目和重点项目。惠昌常教授在代数表示论和同调代数等领域有许多杰出的工作,相关科研成果发表在Compos. Math., Crell’s J., Math. Ann., Proc. Lond. Math. Soc., Adv. Math.等国际著名数学杂志上。目前担任J. Algebra,Archiv der Math.等数学期刊的编委。