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Geometry III: Discrete conformal maps

(Winter 2019)

Lectures Boris Springborn Tue 10-12 MA 841
Thu 10-12 MA 841

This is a course of the Berlin Mathematical School held in English (unless all attending BMS students prefer German).

Contents

The course will be on the following topics and what they have to do with each other:

  • Nonlinear theory of discrete conformal maps:
    • circle packings and circle patterns
    • discrete conformal equivalence of triangle meshes
  • Realization of hyperpolic polyhedra with prescribed dihedral angles or intrinsic metric.

Movies

  • conform. A short film about conformal maps. [youtube, vimeo]
  • conform. Ein kurzer Film über konforme Abbildungen. (deutsch) [vimeo]
  • Koebe polyhedra and minimal surfaces. [youtube]

Literature

(in no particular order)

Office hours

Will be announced on my homepage.
Boris Springborn . 15.10.2019.