徐晓濛研究员,北京大学

Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quantities, the so-called Stokes matrices, have played important roles in the study of integrable systems, representation theory, quantum field theory, differential and algebraic geometries and so on.

The first talk gives an introduction to the Stokes phenomenon of a meromorphic linear system of ordinary differential equations and its nonlinear isomonodromy deformation equation. In a simple case, the nonlinear isomonodromy equation recovers the Painleve VI equations.