Non-leaving-face property for cluster algebras

：刘品（西南交通大学）
：2022-07-21 16:00
：腾讯会议ID：794856291（无密码）

报告人：刘品（西南交通大学）

时  间：7月21日下午16:00

地  点：腾讯会议ID：794856291（无密码）

内容摘要:

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.

个人简介：

    刘品，西南交通大学数学学院副教授，博士研究生导师，数学系主任，主要从事代数表示论的研究工作。在 Math. Z.、J. Algebra、Sci. China Math.、Proc. AMS等知名数学杂志上发表论文十余篇，先后主持国家自然科学基金数学天元基金、青年科学基金和面上项目，2020年获四川省数学会首届基础数学奖二等奖。

 

联系人：陈健敏