Extension dimensions: derived equivalences and stable equivalences
数学专题报告
报告题目(Title)：Extension dimensions: derived equivalences and stable equivalences
报告人(Speaker)：张金币（北京大学）
地点(Place)：后主楼1223
时间(Time)：2023年9月26日（周二）16:00-16:50
邀请人(Inviter)：肖杰
报告摘要
The extension dimensions of Artin algebras provide a reasonable way of measuring how far an algebra is from being representation-finite. In this talk, we shall see that the extension dimension is an invariant under the stable equivalence, and that the difference of the extension dimensions of two derived equivalent algebras is bounded above by the minimal length of a tilting complex associated with a derived equivalence. In addition, we give two sufficient conditions such that the extension dimension is an invariant under particular derived equivalences. This is a joint work with Junling Zheng from China Jiliang University.
组织者：肖杰、方杰鹏、兰亦心
