Speaker：Pin Liu（Southwest Jiaotong University）

Time：2022-07-21, 16:00

Location：Tencent Meeting ID：794856291（No Password）

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 finite-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. In particular, we will establish the so-called non-leaving-face property for all cluster algebras which was obtained in recent joint work with C. Fu and S. Geng. If time permits, we will discuss the same non-leaving-face property for the support tau-tilting graphs of finite-dimensional algebras which is still an ongoing work joint with Fu and Geng.