3月8日 惠昌常教授学术报告(数学与统计学院)

来源:数学行政作者:时间:2024-02-29浏览:10设置

报 告 人:惠昌常 教授

报告题目:On Tachikawa’s second conjecture

报告时间:2024年03月08日(周五)下午14:00-15:00

报告地点:静远楼1508学术报告厅

主办单位:数学与统计学院、数学研究院、科学技术研究院

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,教育部国家高层次人才获得者。主要从事代数表示论的研究,在J. Rein Ang. Math., Adv. Math., Proc London Math. Soc., Math. Ann., Comm. Math. Phys,Trans Amer Math. Soc., J. Algebra, J. Pure Appl. Algebra等国际著名期刊发表论文90余篇。现为J. Algebra和Archiv der Mathematik的编委,曾获教育部科技进步二等奖、德国“年轻杰出学者洪堡奖”。

报告摘要:

       In the representation theory and homological algebra of finite-dimensional algebras, one of the most prominent conjectures is the long-standing and not yet solved Nakayama conjecture, saying that a finite-dimensional algebra over a field with infinite dominant dimension should be selfinjective. This conjecture is equivalent to the combination of two conjectures by Tachikawa, where the second conjecture states that an orthogonal module over a self-injective algebra should be projective. In this talk we consider Tachikawa’s second conjecture for symmetric algebras. We give a new formulation of this conjecture for symmetric algebras in terms of derived recollements of algebras. The talk presents parts of a joint work with H. X. Chen and M. Fang.



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