汇报标题 (Title)：相容的弱分化系统和平展模型结构
汇报人 (Speaker)：狄振兴（华侨大学）
汇报功夫 (Time)：2024年12月19日(周四) 10:00–11:00
汇报地址 (Place)：校本部F309
约请人(Inviter)：高楠
主办部门：理学院数学系 代数理论与量子推算系列汇报
汇报提要：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.
