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Vidéo Année : 2016

F. Luo - An introduction to discrete conformal geometry of polyhedral surfaces (Part 3)

Afficher 

Fanny Bastien
Pauline Martinet
  • Fonction : Monteur
  • PersonId : 987134

Résumé

The goal of the course is to introduce some of the recent developments on discrete conformal geometry of polyhedral surfaces. We plan to cover the following topics. - The Andreev-Koebe-Thurston theorem on circle packing polyhedral metrics and Marden-Rodin’s proof - Thurston’s conjecture on the convergence of circle packings to the Riemann mapping and its solution by Rodin-Sullivan - Finite dimensional variational principles associated to polyhedral surfaces - A discrete conformal equivalence of polyhedral surfaces and its relationship to convex polyhedra in hyperbolic 3-space - A discrete uniformization theorem for compact polyhedral surfaces - Convergence of discrete conformality and some open problems

Dates et versions

medihal-01347291 , version 1 (20-07-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01347291 , version 1

Citer

Feng Luo, Fanny Bastien, Pauline Martinet. F. Luo - An introduction to discrete conformal geometry of polyhedral surfaces (Part 3) : Summer School 2016 - Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01347291⟩
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