一、报告题目：T[-1]-cluster tilting objects in triangulated categories
二、报告人：魏加群教授
三、时间：2024年6月21日(周五)上午10:00-11:00
四、地点：闻理园A4-305
报告摘要：Let C be a k-linear Hom-finite Krull-Schmidt triangulated category with a cluster-tilting object T. We introduce T[-1]-cluster tilting objects in C, which generalize cluster tilting objects. Let A be the opposite algebra of the endomorphism algebra of T. We show that there is a bijection between T[-1]-cluster tilting objects in C and support {τ^-}-tilting Amodules. Moreover, the bijection induces a bijection between support τ -tilting A-modules and support {τ^-}-tilting A-modules, which coincides with the bijection in [τ -tilting theory, Compos Math,2014,150:415-452]. This is a joint work with Jifen Liu.
报告人简介：魏加群, 2001年博士毕业于南京大学，2003年从四川大学博士后流动站出站至南京师范大学工作，2024年起至浙江师范大学工作。现为浙江师范大学数学学院教授,博士生导师。研究方向为同调代数与代数表示论,曾主持省级杰出青年基金及多项国家级项目，入选省级中青年学术带头人,曾获教育部科技二等奖(排名第三)等,研究论文发表于Adv. Math., Math. Z., Math. Proc. Camb. Phil. Soc., Israel J. Math., J. Algebra，J. Pure Appl. Algebra, Comm. Algebra等著名杂志。
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