报告问题 (Title)：稳固函子及其应用（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

报告所在 (Place)：校本部 D121

约请人(Inviter)：毛雪峰 教授

主理部分：理学院数学系

报告摘要： 导出等价的稳固函子由胡-惠在2010年引入。
。。。之后，，胡和潘给出了导出领域之间纷歧定是导出等价的非负函子的稳固函子的一样平常性界说，，并且证实晰Gorenstein投射模的稳固领域之间的导出等价的稳固函子总可诱导一个三角等价。
。。。在报告中，，我们将讨论由稳固函子诱导的导出等价和singular等价下的几个同调意料的详细体现。
。。。

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.