Mutation graph of tau-tilting modules of surface rigid algebras
科研大讨论系列报告
报告题目(Title)：Mutation graph of tau-tilting modules of surface rigid algebras
报告人(Speaker)： 周宇 （清华大学）
地点(Place)：后主楼1223
时间(Time)：2023年12月28日 15:00-15:50
邀请人(Inviter)：肖杰
报告摘要
In this talk, we study a class of finite dimensional algebras, called surface rigid algebras, which arise from partial triangulations of punctured marked surfaces. We show that each indecomposable rigid module of a surface rigid algebra corresponds to a tagged arc on the surface, and this correspondence gives rise to a bijection from support tau-tilting modules to certain partial tagged triangulations. As an application, we show that the mutation graph of support tau-tilting modules of a surface rigid algebra is connected, under a certain condition which are satisfied by any skew-gentle algebra. This is based on joint work with Ping He and Bin Zhu.
