Relative cluster tilting theory and tau-tilting theory
数学专题报告
报告题目(Title)：Relative cluster tilting theory and tau-tilting theory
报告人(Speaker)：刘裕（陕西师范大学）
地点(Place)：后主楼1220
时间(Time)：2025年11月26日（周三）16:15-17:15
邀请人(Inviter)：肖杰、覃帆、周宇
报告摘要
Let C be a Krull-Schmidt triangulated category with shift functor [1] and R be a rigid subcategory of C. We are concerned with the mutation of two-term weak R[1]-cluster tilting subcategories. We show that any almost complete two-term weak R[1]-cluster tilting subcategory has exactly two completions. Then we apply the results on relative cluster tilting subcategories to the domain of tau-tilting theory in functor categories and abelian categories.
