GTM seminar

Speaker: Todor Milanov (Kavli IPMU)
Title: The Painleve property for the Schlesinger equations
Date (JST): Thu, Jun 23, 2016, 15:30 - 17:00
Place: Seminar Room A
Related File: 1710.pdf
Abstract: By definition a system of ordinary differential equations has the Painleve property if every local solution extends to a global meromorphic one. The Schlesinger equations provide a method to deform a given Fuchsian connection into an isomonodromic family of Fuchsian connections. The main goal of my talk is to explain a remarkable theorem proved independently by Malgrange and Miwa that says that the Schlesinger equations have the Painleve property. If time permits, I will try to explain the applications to semi-simple Frobenius manifolds, which was my main motivation to study the theorem of Malgrange and Miwa.