Invited by School of Mathematics and Statistics, associate Prof. Fan Xu from Tsinghua University will give a lecture.

Title: Quantum cluster characters and Hall algebras

Time: 9:00 a.m.,Jun.23th, 2021

Conference ID: 723 737 105( Tencent Conference), PASSWD: 125914

Abstract: Let Q be a finite acyclic quiver.We realize the acyclic quantum cluster algebra with principle coefficients associated to Q as the quotient of the Lusztig type Hall algebra with respect to an ideal. We explicitly describe the ideal. This gives a categorical characterization of an acyclic quantum cluster algebra. As an application, we construct the dual PBW basis via the Hall algebra approach.