Differential Geometry III: Geometry of Integrability (Winter 2009/2010)

This is an advanced course of the Berlin Mathematical School held in English.

The lecture will be based on the book A.I. Bobenko, Yu.B. Suris "Discrete Differential Geometry: Integrable Structure" .

Contents

Integrable systems in geometry und physics: Geometric definition of integrability, discrete integrable systems, examples in geometry und physics, classification, classical incidence theorems and general geometric construction of discrete integrable systems, approximation.