知数讲堂第2期：周潘岳教授学术报告《Support tau_n-tilting pairs》
发布时间：2023-04-27 浏览次数：10
题目：Support tau_n-tilting pairs
摘要：In this talk, we introduce the higher version of Adachi-Iyama-Reiten's support tau-tilting pairs, which are regarded as a generalization of maximal tau_n-rigid pairs in the sense of Jacobsen-Jorgensen. Assume that C is an (n+2)-angulated category with an n-suspension functor Sigma^n and T is an Opperman-Thomas cluster tilting object. We prove that relative n-rigid objects in C are in bijection with tau_n-rigid pairs in the n-abelian category C/add(Sigma^nT), and relative maximal n-rigid objects in C are in bijection with support tau_n-tilting pairs. We also prove that relative n-self-perpendicular objects are in bijection with maximal tau_n-rigid pairs. These results generalize work for C being 2n-Calabi-Yau by Jacobsen-Jorgensen and work for n=1 by Yang-Zhu.
时间：2023年4月26日上午10:00-12:00
地点：理四501报告厅
报告人：周潘岳（湖南理工学院）
作者简介：周潘岳，湖南理工学院副教授，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，湖南省教育厅优秀青年项目1项，中国博士后科学基金面上项目1项。先后在《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》、《Applied Categorical Structures》、《中国科学：数学》等杂志发表论文40余篇。