October 30, 5:30, Math 507

Xiaomeng Xu (MIT), Stokes phenomenon and its applications in mathematical physics

We will give a brief introduction to Stokes phenomenon of an ODE with irregular singularities and its relation with Poisson geometry and integrable systems. We then consider the Stokes phenomenon and isomonodromic deformation of Knizhnik–Zamolodchikov type equations, and explore their relations with Yang-Baxter equations and quantization of semisimple Frobenius manifolds.