报 告 人：狄振兴
报告题目：An Auslander-Buchweitz approximation approach to (pre)silting subcategories in triangulated categories
报告时间：2017年10月23日（周一）14：30
报告地点：静远楼1506报告厅
主办单位：数学与统计学院、科技处
报告人简介：
狄振兴，西北师范大学副教授、硕士生导师。研究方向为同调代数和代数表示论。2015 年博士毕业于东南大学数学学院（导师：陈建龙教授），2015 年至今在西北师范大学博士后流动站工作（导师：刘仲奎教授）。在~Proc. Roy. Soc. Edinburgh Sect. A，Comm. Algebra，J. Algebra Appl. 等杂志发表论文十余篇。2016 年获得国家自然科学基金青年项目和博士后西部人才资助项目的资助。
报告摘要：
We apply the Auslander-Buchweitz approximation theory to study (pre)silting subcategories in a triangulated category $\mathcal{T}$. We show that under a mild condition the Iyama and Yoshino's subfactor triangulated category can be realized as a triangulated quotient. An Auslander-Reiten type correspondence between the class of silting subcategories of $\mathcal{T}$ and that of certain covariantly finite subcategories of $\mathcal{T}$ is established. We introduce a relation on presilting subcategories of $\mathcal{T}$, which can be used to obtain another silting subcategory from a given one, and give a Bazzoni's characterization for two presilting subcategories satisfying such a relation. These results generalise some work of Wei, Iyama and Yang etc. This is a joint work with Zhongkui Liu and Junpeng Wang.
