报告题目 (Title)：相容的弱分解系统和平坦模型结构
报告人 (Speaker)：狄振兴（华侨大学）
报告时间 (Time)：2024年12月19日(周四) 10:00–11:00
报告地点 (Place)：校本部F309
邀请人(Inviter)：高楠
主办部门：理学院数学系 代数理论与量子计算系列报告
报告摘要：In the first part of this talk, we introduce the concept of compatible weak factorization systems in general categories as a counterpart of compatible complete cotorsion pairs in abelian categories. We then describe a method to construct model structures on general categories via two compatible weak factorization systems satisfying certain conditions, and hence, generalize a very useful result by Gillespie for abelian model structures. In the second part of this talk, we construct a flat model structure on the category of additive functors from a preadditive category satisfying certain conditions to the module category, whose homotopy category is the Q-shaped derived category introduced by Holm and Jorgensen.
