A Grothendieck opfibration approach to constructions of Waldhausen category

：狄振兴（华侨大学）
：2024-10-25 15:45
：海韵园行政楼C503

报告人：狄振兴（华侨大学）

时  间：2024年10月25日15:45

地  点：海韵园行政楼C503

内容摘要:

Given a Grothendieck opfibration p: T→B, we describe a method to construct a Waldhausen category structure on the total category T via combining Waldhausen category structures on the fibers TA for A∈Ob(B) and the basis category B. As an application, we show that if E is a Waldhausen category with small coproducts such that the class of cofibrations is the left part of a weak factorization system in E, then the representation category Rep(Q, coE) of a left rooted quiver Q is a Waldhausen category, where coE is the subcategory of E whose morphisms are cofibrations.

个人简介：

狄振兴，华侨大学教授，主要从事环的同调理论、模型范畴理论与代数表示理论的相关研究工作。迄今，在Proceedings of the Royal Society of Edinburgh. Section A. Mathematics、Journal of Algebra、Journal of Pure and Applied Algebra等国际SCI刊物发表论文20余篇。主持国家自然科学基金青年基金项目1项、面上项目2项。

 

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