From (derived) Hall algebras to acyclic quantum cluster algebras

：陈学庆（美国威斯康星大学白水分校）
：2022-06-23 09:30
：腾讯会议ID：506662684（无密码）

报告人：陈学庆（美国威斯康星大学白水分校）

时  间：6月23日上午09:30

地  点：腾讯会议ID：506662684（无密码）

内容摘要:

Inspired by Caldero-Keller’s discovery of the similarity between the multiplication formulas in a cluster algebra and that in a (dual) Hall algebra, one can expect to relate (derived) Hall algebras associated to certain categories to acyclic quantum cluster algebras via quantum cluster characters. First, we discuss an algebra homomorphism from the dual Hall algebra associated to Rep(Q) (category of representations of an acyclic quiver Q) to the corresponding quantum cluster algebra. Then we address the connection from two certain quotients of subalgebras of the derived Hall algebras of Rep(Q) to acyclic quantum cluster algebra. Finally, we give cluster multiplication formulas via the above derived Hall algebras. This talk is based on the joint works with Ming Ding and Fan Xu, and with Ming Ding and Haicheng Zhang.

个人简介：

陈学庆，美国威斯康星大学白水分校教授。研究领域为有限维代数（箭图）的表示、Hall代数与量子群、Cluster代数与量子Cluster代数。2002年博士毕业于加拿大卡尔顿大学，先后在加拿大渥太华大学及加拿大温莎大学从事科研工作。在包括Compositio Math., Contem. Math., J. Algebra等期刊上发表过高水平论文30余篇。

 

联系人：阮诗佺