题目:A Grothendieck opfibration approach to constructions of Waldhausen category structures
报告人:狄振兴 教授(华侨大学)
时间:6月7日上午11:00-12:00
报告地点:数学楼915
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, then the representation category Rep(Q, coE) of an out tree Q is a Waldhausen category, where coE is the subcategory of E whose morphisms are cofibrations.
报告人简介:狄振兴,华侨大学数学科学学院教授、博士生导师,福建省闽江学者特聘教授、入选福建省第九批创新创业人才(省引才百人计划)。主要从事模型范畴理论、相对同调理论与代数表示论等领域相关研究工作。迄今,在《Transactions of the American Mathematical Society》《Proceedings of the Royal Society of Edinburgh. Section A. Mathematics》《Journal of Algebra》《Journal of Pure and Applied Algebra》等国际著名SCI刊物发表论文30余篇。2016年工作至今,主持国家自然科学基金青年基金项目1项、面上项目2项。