报告题目：The analysis, algebra and geometry of Stokes phenomenon

主讲 人：徐晓濛

单 位：北京大学

时 间：8月7日19:30

腾 讯 ID：575 746 463

密 码：123456

摘 要：

This talk gives an introduction to the Stokes phenomenon of meromorphic linear systems of ordinary differential equations, and its isomonodromy deformation. It then discusses three aspects of Stokes phenomenon: on the analysis side, it gives an explicit formula of Stokes matrices via the asymptotics of the associated isomonodromy equations; on the algebraic side, it gives a realization of crystal basis (of type A Lie algebras); in the end, on the geometric side, it conjecturally relates the WKB approximation of Stokes matrices with the periods on the associated spectral curves, and gives a realization of cluster algebras on certain double Bruhat cells using the geometry of Hitchin systems. The last part is a work in progress with Anton Alekseev and Yan Zhou.

简 介：

徐晓濛，北京大学助理教授。在北京大学大学获得硕士学位，在瑞士日内瓦大学获得博士学位，美国麻省理工学院博士后。从事Poisson几何与数学物理的研究，在Comm. Math. Phys., Adv. Math., Int. Math. Res. Notices等杂志上发表多篇高水平论文。