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.
