Title:Stokes phenomenon, quantum groups and 2d TFT
Speaker:Xiaomeng Xu(MIT)
Time:2018年3月23日 下午 16:00-17:30
Room:东区管理科研楼 数学科学学院1418室
Abstract:This talk will include a general introduction to differential equations with singularities, and its relation with symplectic geometry, representation theory and 2d topologicial field theory. In particular, we will focus on the Stokes phenomenon of linear systems of ordinary differential equations, and construct the braiding of Drinfeld-Jimbo quantum groups as quantum Stokes matrices. We then study the isomonodromic deformation of Knizhnik�Zamolodchikov type equations, and relate its classical limit to the theory of Frobenius manifolds.