题目：Quantum cluster characters and Hall algebras

摘要: Let Q be a finite acyclic quiver. We realize the acyclic quantum cluster algebra with principal coefficients associated to Q as the quotient of the corresponding 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.

报告人简介：徐帆，清华大学数学科学系副教授，博士生导师。2007年在清华大学获得博士学位。研究领域为代数表示论，在 Duke Math. J., Trans. Amer. Math. Soc., Proc. Amer. Math. Soc., Math. Z., J. Algebra等期刊发表高水平论文二十余篇。

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