报告人：陈红星 研究员

报告题目：Finiteness of homological dimensions in triangulated categories

报告时间：2026年4月29日（周三）下午4:30-5:20

报告地点：云龙校区6号楼304报告厅

主办单位：数学与统计学院、数学研究院、科学技术研究院

报告人简介：

陈红星，男，首都师范大学数学科学学院研究员，德国洪堡访问学者，博士毕业于北京师范大学。研究方向为代数表示论与同调代数，主要从事经典同调猜想、导出范畴、倾斜与粘合理论等方面的研究。研究成果发表在Proc. Lond. Math. Soc、Trans. Amer. Math. Soc、Int Math Res Notices等国际知名数学杂志。2018年度入选北京市科技新星计划，并受邀在第18届国际代数表示论会议上做大会报告。

报告摘要：

In a general triangulated category, the finiteness of the finitistic dimension serves as a prerequisite for a categorical obstruction, via the singularity category, to the existence of bounded t-structures. In this talk, we investigate the finitistic, big finitistic, and global dimensions, and establish explicit inequalities that relate these dimensions of the middle category in a recollement of triangulated categories to those of the outer categories. This provides a unified framework for extending some known results on the homological dimensions of ordinary rings to weakly approximable triangulated categories. This talk reports a joint work with Xiaohu Chen (CNU) and Jinbi Zhang (AHU).