数学学科Seminar第2798讲 相容的弱分解系统和平坦模型结构

创建时间:  2024/12/16  龚惠英   浏览次数:   返回

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:古天乐代言太阳集团数学系 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.

上一条:数学学科Seminar第2799讲 Morita context代数上的Gorenstein投射模

下一条:数学学科Seminar第2797讲 关于多项式的华林问题


数学学科Seminar第2798讲 相容的弱分解系统和平坦模型结构

创建时间:  2024/12/16  龚惠英   浏览次数:   返回

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:古天乐代言太阳集团数学系 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.

上一条:数学学科Seminar第2799讲 Morita context代数上的Gorenstein投射模

下一条:数学学科Seminar第2797讲 关于多项式的华林问题