题目：Orthogonal generators over self-injective algebras

报告人：惠昌常教授，首都师范大学

时间：2022年4月1日（星期五）下午14：30-15：30

地点：

线下教室：东区第五教学楼5205；

腾讯会议：310-6828-4145

摘要：One of the main open problems in the representation theory of Artin algebras is the Nakayama conjecture, stating that an Artin algebra should be self-injective whenever its dominant dimension is infinite. To attack this conjecture, Tachikawa proposed two related conjectures, one of them says that an orthogonal module over a self-injective algebra should be projective. Motivated by these conjectures, we study orthogonal generators over self-injective algebras from the angle of triangulated categories. In the talk we will show that such modules produce recollements of relative stable module categories and discuss their dimensions. As a consequence, we show that the Nakayama conjecture holds true for the universally Gorenstein algebras. This reports parts of a recently ongoing 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。曾获教育部科技进步二等奖，德国洪堡基金会Bessel研究奖，任国际知名杂志 Journal of Algebra以及Archiv der Mathematilk编委。