报告人：徐晓濛 北京大学助理教授

报告时间：8月7日19:30

报告地点：腾讯 ID：575 746 463 密码：123456

主办单位：数学与统计学院

报告摘要:

    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.

报告人简介：

    徐晓濛，北京大学助理教授。在北京大学获得硕士学位，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。