报告题目： Pre-(n+2)-angulated categories

报 告 人： 周潘岳

报告摘要：In this talk, we introduce the notion of a pre-(n+2)-angulated category as a higher dimensional analogue of a pre-triangulated category defined by Beligiannis-Reiten. We first show that the idempotent completion of a pre-(n+2)-angulated category admits a unique pre-(n+2)-angulated structure. Let (C,\Sigma^n,\Theta) be an (n+2)-angulated category and X be a strongly functorially finite subcategory of C. We then show that the quotient category C/X is a pre-(n+2)-angulated category. These results allow to construct several examples of pre-(n+2)-angulated categories. Moreover, we also give a necessary and sufficient condition for the quotient C/X to be an (n+2)-angulated category.

报告人简介：周潘岳，长沙理工大学数学与统计学院副教授，清华大学博士后，加拿大University of Sherbrooke博士后，硕士研究生导师。主要研究方向为代数表示论与同调理论。主持国家自然科学基金青年项目1项，湖南省自然科学基金青年项目1项，中国博士后科学基金面上项目1项。先后在《SCIENCE CHINA Mathematics》、《Proceedings of the Royal Society of Edinburgh Section A: Mathematics》、《Pacific Journal of Mathematics》、《Proceedings of the American Mathematical Society》、 《Journal of Algebra》、《Journal of Pure and Applied Algebra》、《Algebras and Representation Theory》等杂志发表论文多篇。

报告时间： 2023.10.19  晚上18：30-20：30

报告地点： 腾讯会议：756-874-249

报告邀请人：张珍

主办单位：伟德betvlctor体育官网

撰稿：张  珍

供稿审核：刘春晗

终审：院  长