报告问题 (Title):相容的弱剖析系统清静坦模子结构
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
报告所在 (Place):校本部F309
约请人(Inviter):高楠
主理部分:理学院数学系 代数理论与量子盘算系列报告
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.