Seminar in Real and Complex Geometry

Thursday, 08.10.2015, 16:00-17:30, Schreiber building, room 210

Sergey Natanzon, High School of Economics

2D Toda hierarchy, Hurwitz numbers and Riemann theorem


In the talk we will present all symmetric solutions of the dispersionless integrable 2D Toda hierarchy. Using this description, we will exhibit a formula for the 2-Hurwitz numbers of genus 0 and will provide a new algorithm to construct a conformal mapping of any simply connected complex domain with smooth boundary to the standard open disc.