报告人：刘品教授

              西南交通大学

题目：On denominator vectors of cluster algebras （I）（II）

时间：2018年03月01日上午10:30

          2018年03月01日下午14:30

地点：海韵数理楼613

报告摘要：At the beginning of this century, Fomin and Zelevinsky invented a new class of algebras called cluster algebras motivated by total positivity in algebraic groups and canonical bases in quantum groups. Since their introduction, cluster algebras have found application in a diverse variety of settings which include Poisson geometry, Teichmuller theory, tropical geometry, algebraic combinatorics and last not least the representation theory of quivers and finite dimensional algebras. The structure of cluster algebras is to a large extent controlled by a family of integer vectors called denominator vectors.  In this series of talks, we give an interpretation of denominator vectors in terms of representations of finite dimensional algebras. Using this interpretation, we confirm several conjectures about denominator vectors for cluster algebras of type C. This is joint work with C. J. Fu and S. F. Geng.

报告人简介：刘品，西南交通大学数学学院,副教授，硕士生导师，数学系主任。主要研究方向为代数表示论，对丛（cluster）代数、丛范畴中的丛倾斜理论以及2-Calabi-Yau三角范畴中的倾斜理论有深刻的研究。曾经主持过国家自然科学基金的青年基金以及数学天元基金等，目前正在主研面上项目“丛理论相关的代数表示”。曾入选德意志学术交流中心 DAAD访问学者奖励计划。

联系人：林亚南教授

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