Institut für Mathematik
Geometry II (SoSe 13)
This is a course of the Berlin Mathematical School held in English.
This course deals with discrete analogs of smooth differential geometry of curves and surfaces. So the main objects of the course will be discrete curves (polygons) and discrete surfaces (polyhedral surfaces). Potential topics include:
From the theory of curves: discrete tangent flow, discrete tractrix and Darboux transformation, curvature of discrete curves and discrete elastica.
From the theory of surfaces: discrete curvatures, discrete parametrizations and special classes of surfaces, discrete conformal and discrete harmonic maps, discrete Laplace operator, circle patterns and packings, discrete conformal equivalence of triangle meshes and discrete Riemann surfaces, variational principles.
Exercise sheetsThe exercise sheets can be found here.
To get a certificate for the tutorial, you need to satisfactorily complete 50% of the homework assignments. Homeworks may be prepared individually or in groups of two students and are due at the beginning of Thursdays lecture.