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
Abstract
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.
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