题目：A complex analysis origin of crystal bases

摘要：In this talk, we give a complex analysis origin of crystal bases in representation theory.

In particular, we show that the WKB approximation of Stokes matrices, of certain meromorphic differential equations associated to a representation, gives rise to a crystal base of the representation.

报告人简介：徐晓濛，北京大学助理教授。他于2013年在北京大学获硕士学位，2016年获日内瓦大学博士学位，接着在麻省理工学院从事博士后研究。主要研究方向是表示论、辛几何、奇点理论以及其在数学物理中的应用。在Adv. Math., Comm. Math. Phys., Int. Math. Res. Not. 等杂志发表多篇论文。

题目：Constructions of highest weight modules of double Ringel-Hall algebras via functions

摘要: Zheng Hao studied the bounded derived categories of constructible sheaves on some algebraic stacks consisting of the representations of a framed quiver and categorified the integrable highest weight modules of the corresponding quantum group by using these categories. In this talk, we shall introduce a generalization of Zheng's work and give realizations of highest weight modules of a certain subalgebra of the double Ringel-Hall algebra of a finite quiver via spaces of functions on representation varieties of the framed quiver.

报告人简介：赵明慧，北京林业大学副教授，2013年博士毕业于清华大学。研究领域是代数表示论，主要从事Hall代数，量子群等相关问题的研究。目前在J. Algebra，Algebr. Represent. Theory等杂志上发表论文数篇。

欢迎各位老师同学参加！