报告题目：Silting and silting reduction in extriangulated categories

报告人：朱彬 教授 清华大学

邀请人：李欢欢

报告时间：2023年4月16日（周日）10：15

报告地点：腾讯会议380-694-251

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。

报告摘要：Presilting and silting subcategories in extriangulated categories were introduced by Adachiand Tsukamoto recently. In this talk, we prove that the Gabriel-Zisman localization B/(thickW) ofan 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.