On exchange graphs

Speaker：Pin Liu (Southwest Jiaotong University)

Time：2026-7-22 9:00

Location：Conference Room S105 at Experiment Building at Haiyun Campus

Abstract:

Exchange graphs appear originally in cluster theory, but since then many other structures have found to yield exchange graphs, such as support tau−tilting modules over a ffnite-dimensional algebra, silting objects in a derived category etc. In this talk, we give a concise introduction to cluster algebras and then focus on the question of shortest paths of mutations. If time permits, we will discuss the support tau-tilting graphs of ffnite-dimensional algebras.