汇报标题 (Title)：不变函子及其利用（The stable functor and its applications）
汇报人 (Speaker)：胡维 教授（北京师范大学）
汇报功夫 (Time)：2023年11月10日(周五) 10:30—11:30
汇报地址 (Place)：校本部 D121
约请人(Inviter)：毛雪峰 教授
主办部门：理学院数学系
汇报提要： 导出等价的不变函子由胡-惠在2010年引入 。之后，胡和潘给出了导出领域之间不愿定是导出等价的非负函子的不变函子的通常性界说，并且证了然Gorenstein投射模的不变领域之间的导出等价的不变函子总可诱导一个三角等价 。在汇报中，我们将会商由不变函子诱导的导出等价和singular等价下的几个同调猜测的具体阐发 。
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.
