Speaker：Bin Zhu（Tsinghua University）

Time：2019-03-29,13:30

Location：Conference Room 105 at Experiment Building at Haiyun Campus

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.