一、报告题目：Mutation of n-cotorsion pairs in extriangulated categories
二、报告人：周潘岳 教授
三、时 间：2025年11月1日（周六）上午9:00—10:00
四、地 点：闻理园A4-305
报告摘要：In this talk, we introduce the notion of n-cotorsion pairs in extriangulated categories, which extends both the cotorsion pairs established by Nakaoka and Palu and the n-cotorsion pairs in triangulated categories developed by Chang and Zhou. We further prove that any mutation of an n-cotorsion pair remains an n-cotorsion pair. As applications, we provide a geometric characterization of n-cotorsion pairs in n-cluster categories of type A_, and we realize mutations of n-cotorsion pairs geometrically via rotations of certain configurations of n-admissible arcs.
报告人简介：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。
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