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Geometry III: Discrete conformal maps

(Winter 2022/23)

[Bobenko/Sechelmann/Springborn]
[Gillespie/Springborn/Crane]

Lectures

Boris Springborn

Mon 12-14  MA 851
Fri 10-12 MA 751

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 their connections:

  • 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 prescribed intrinsic metric.
Shared students' notes for participants (sorry, password protected)

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

Office hours

Will be announced on my homepage.
Boris Springborn . 30.01.2023.