报告题目 (Title)：稳定函子及其应用（The stable functor and its applications）

报告人 (Speaker)：胡维 教授（北京师范大学）

报告时间 (Time)：2023年11月10日(周五) 10:30—11:30

报告地点 (Place)：校本部 D121

邀请人(Inviter)：毛雪峰 教授

主办部门：理学院数学系

报告摘要： 导出等价的稳定函子由胡-惠在2010年引入。之后，胡和潘给出了导出范畴之间不一定是导出等价的非负函子的稳定函子的一般性定义，并且证明了Gorenstein投射模的稳定范畴之间的导出等价的稳定函子总可诱导一个三角等价。在报告中，我们将讨论由稳定函子诱导的导出等价和singular等价下的几个同调猜想的具体表现。

Abstract： The stable functor of a derived equivalence was introduced by Hu and Xi in 2010. Later, Hu and Pan gave a general definition of stable functors of non-negative functors between derived categories which may not be derived equivalences, and proved that the stable functor of a derived equivalence always induce a triangle equivalences between the stable categories of Gorenstein projective modules. In this talk, we shall disscuss the behavior of several homological conjectures under derived equivalences or singular equivalences induced by stable functors.