报告名称:Model structure arising from one hereditary complete cotorsion pair on extriangulated categories
报告专家:周潘岳
专家所在单位:长沙理工大学
报告时间:2026.03.20, 15:00-16:00
报告地点: 数统学院201
专家简介:周潘岳,长沙理工大学数学与统计学院教授,博士生导师,湖南省数学学会理事,湖南省青年骨干教师,清华大学博士后,加拿大University of Sherbrooke博士后,主要从事代数表示论与同调理论的研究。先后主持国家自然科学基金面上项目和青年项目各1项以及省部级科研项目3项。研究成果发表在Science China Mathematics,Canadian Journal of Mathematics,Proceedings of the Royal Society of Edinburgh Section A: Mathematics,Pacific Journal of Mathematics,Journal of Algebra,Journal of Pure and Applied Algebra,Algebras and Representation Theory等国际知名学术期刊上。
报告摘要:Hovey's correspondence between model structures and cotorsion pairs in the setting of abelian categories, has been generalized by Nakaoka-Palu, using two cotorsion pairs, to the setting of weakly idempotent complete extriangulated categories, and the aim of the paper is to give an analogous correspondence using one (hereditary) cotorsion pair generalizing in this setting work of Beligiannis-Reiten and Cui, Lu and Zhang. Furthermore, we provide methods to construct model structures from silting objects in weakly idempotent complete extriangulated categories and co-t-structures on triangulated categories.