报告时间：2023年3月17日15：30-16：30 腾讯会议：430793779

报告人：朱彬教授（清华大学）

报告题目：Silting and silting reduction in extriangulated categories

摘要：Presilting and silting subcategories in extriangulated categories were introduced by Adachi and Tsukamoto recently. In this talk, we prove that the Gabriel-Zisman localization B/(thickW) of an extriangulated category B with respect to a presilting subcategory W satisfying certain condition can be realized as a subfactor category of B. This generalizes the result by Iyama-Yang for silting reduction on triangulated categories. Then we discuss the relation between silting subcategories and tilting subcategories in extriangulated categories, this gives us a kind of important examples of our results. In particular, for a finite dimensional Gorenstein algebra, we get the relative version of the descriptions of the singularity category due to D.Happel and Chen Xiaowu-Zhang Pu by this reduction. This is a joint work with Liu Yu, Zhou Panyue and Zhou Yu.

报告人简介：朱彬，清华大学数学科学系教授、博士生导师，1999年于德国比勒菲尔德大学毕业获博士学位。研究方向为代数表示论和丛理论。曾在德国，英国, 美国，法国，比利时，加拿大，韩国，日本等国家多所大学与研究所进行访问研究。主持或完成多项国家自然科学基金项目。相关论文见于Trans. AMS.、J. Lond. Math. Soc.、Math. Z.、J. Algebra等杂志。