»ã±¨±êÌâ (Title)£º²»±äº¯×Ó¼°ÆäÀûÓã¨The stable functor and its applications£©

»ã±¨ÈË (Speaker)£ººúά ½ÌÊÚ£¨±±¾©Ê¦·¶´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê11ÔÂ10ÈÕ(ÖÜÎå) 10:30¡ª11:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿ D121

Ô¼ÇëÈË(Inviter)£ºÃ«Ñ©·å ½ÌÊÚ

Ö÷°ì²¿ÃÅ£ºÀíѧԺÊýѧϵ

»ã±¨ÌáÒª£º µ¼³öµÈ¼ÛµÄ²»±äº¯×ÓÓɺú-»ÝÔÚ2010ÄêÒýÈë¡£Ö®ºó£¬ºúºÍÅ˸ø³öÁ˵¼³öÁìÓòÖ®¼ä²»Ô¸¶¨Êǵ¼³öµÈ¼ÛµÄ·Ç¸ºº¯×ӵIJ»±äº¯×ÓµÄͨ³£ÐÔ½ç˵£¬²¢ÇÒÖ¤ÁËÈ»GorensteinͶÉäÄ£µÄ²»±äÁìÓòÖ®¼äµÄµ¼³öµÈ¼ÛµÄ²»±äº¯×Ó×Ü¿ÉÓÕµ¼Ò»¸öÈý½ÇµÈ¼Û¡£Ôڻ㱨ÖÐ£¬ÎÒÃǽ«»áÉÌÓɲ»±äº¯×ÓÓÕµ¼µÄµ¼³öµÈ¼ÛºÍsingularµÈ¼Ûϵļ¸¸öͬµ÷²Â²âµÄ¾ßÌå²û·¢¡£

Abstract£º 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.