Title: From $\tau$-tilting modules to tilting modules

Speaker: Xiaojin Zhang

Time: 2019-11-15   16:00-17:00

Place: Room 1418, School of Mathematical Sciences, Management Research Building, East Campus

Abstract：In this talk, we recall some basic properties of $\tau$-tilting modules, especially the homological properties of self-orthogonal $\tau$-tilting modules. Moreover, we give a sufficient and necessary condition for a self-orthogonal $\tau$-tilting module to be a classical tilting module. We show that a $\tau$-tilting module of finite projective dimension is a classical tilting module if and only if it is self-orthogonal.