報 告 人：惠昌常 教授

報告題目：On Tachikawa’s second conjecture

報告時間：2024年03月08日（周五）下午14：00-15：00

報告地點：靜遠樓1508學術報告廳

主辦單位：數學與統計學院、數學研究院、科學技術研究院

報告人簡介：

       惠昌常，首都師范大學數學科學學院特聘教授，博士生導師，教育部國家高層次人才獲得者。主要從事代數表示論的研究，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等國際著名期刊發表論文90余篇。現為J. Algebra和Archiv der Mathematik的編委，曾獲教育部科技進步二等獎、德國“年輕杰出學者洪堡獎”。

報告摘要：

       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.