代数表示论前沿系列报告之二

：朱彬教授
：2019-03-29 13:30
：实验楼105

       Speaker：Prof.Bin Zhu

                       Tsinghua University

Title: Cluster subalgebras cotorsion pairs in Frobenius extriangulated categories

Time：29 March 2019,13:30

Location：海韵实验楼105

Abstract: Nakaoka Palu introduced the notion of extriangulated categories by extracting the similarities between exact categories triangulated categories. In this paper, we study cotorsion pairs in a Frobenius extriangulated category C. Especially, for a 2-Calabi-Yau extriangulated category C with a cluster structure, we describe the cluster substructure in the cotorsion pairs. For rooted cluster algebras arising from C with cluster tilting objects, we give a one-to-one correspondence between cotorsion pairs in C certain pairs of their rooted cluster subalgebras which we call complete pairs. Finally, we explain this correspondence by an example relating to a Grassmannian cluster algebra.