【学术报告】Stokes phenomenon, reflection equations and Frobenius manifolds

• 主讲人：Xu Xiaomeng (Peking university)
• 时间：周六17:00，2020-05-01
• 地点：online

Beijing-Novosibirsk seminar on geometry and mathematical physics （online seminar）

摘要（Abstract） 

Reflection equations, arsing from quantum integrable systems with boundary conditions, are the analog of Yang-Baxter equations on a half line. Geometrically, they encode the cylinder braid groups. Algebraically they are closely related to quantum homogenous spaces. In this talk, we first give an introduction to the Stokes phenomenon of an ODE with irregular singularities. We then prove that the Stokes matrices of cyclotomic Knizhnik–Zamolodchikov (KZ) equations give universal solutions to reflection equations. As an application, we show that the isomonodromy deformation of the KZ equations is a quantization of the Dubrovin connections of Frobenius manifolds from various aspects.

Slides Download: https://disk.pku.edu.cn:443/link/7C9E63FCCD7F4AD1C2F5D6C36580D771

ExpirationTime：2021-07-31 23:59