标题：Higher Cluster Tilting Objects in Locally Finite Triangulated Categories
报告时间：2026年05月31日（星期日）15:00-16:00
报告地点：人民大街校区数学与统计学院二楼216会议室
主讲人： 胡维
主办单位：数学与统计学院
报告内容简介：
This talk discusses the existence of d-cluster tilting objects in locally finite triangulated categories. The stable module categories of representation?finite self?injective algebras serve as typical examples of such categories. We prove that all d-cluster tilting objects are connected by mutations. Consequently, for a given representation?finite self?injective algebra, the derived categories of all its d-cluster tilting modules are equivalent. This is joint work with Qi Bin and Yifu Han.
主讲人简介：
胡维，北京师范大学数学科学学院教授，博士生导师，德国洪堡访问学者，曾主持国家自然科学基金面上项目、两次参与国家自然科学基金重点项目，在代数的导出等价与稳定等价方面有系列的研究成果，发表在Adv. Math, Crelle, Trans. AMS等著名数学期刊。创办WeMath数学科普微信公众号，主编或参与主编《伽罗瓦理论》、《高等数学》等高等教育教材。
