Abstract

In 2006, Fomin, Shapiro, and Thurston studied various properties of cluster algebras that arise from triangulations of orientable bordered surfaces with marked points. In this talk, we will give an expository introduction to quasi-cluster algebras, defined by Dupont and Palesi in 2011, which generalize the surface-type cluster algebras by removing the assumption of orientability of the surface being triangulated. If time permits, we will present various recent developments of quasi-cluster algebras such as partitioned quivers and quasi-cluster complexes.