报告题目：Mutations of (relative) maximal rigid objects in two-term subcategories

报告人：朱彬教授（清华大学）

报告时间：12月9日15：30-16：20    腾讯会议：744 152 454

摘要：Let C be a triangulated category, R be a rigid object. R*R[1] denotes the two-term subcategory. We define the mutations of (relative) maximal rigid objects in R*R[1] by constructing the explicit exchange triangles. The mutations are compatible to the mutations of support τ-tilting modules. By applying to the cluster categories associated to a marked surface (with or without punctures), we prove that the mutation graph of support τ-tilting modules over skew-gentle algebras is connected. This talk bases on joint works with Ping He(何平) and Yu Zhou(周宇).

个人简介：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。