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Vidéo Année : 2016

R. Young - Quantitative geometry and filling problems (Part 1)

Afficher 

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

Résumé

Plateau's problem asks whether there exists a minimal surface with a given boundary in Euclidean space. In this course, we will study related problems in broader classes of spaces and ask what the asymptotics of filling problems tell us about the geometry of surfaces in groups and spaces. What do minimal and nearly minimal surfaces look like in different spaces, and how is the geometry of surfaces related to the geometry of the ambient space? Our main examples will arise from geometric group theory, including nilpotent groups and symmetric spaces.

Dates et versions

medihal-01347189 , version 1 (20-07-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01347189 , version 1

Citer

Robert Young, Fanny Bastien, Pauline Martinet. R. Young - Quantitative geometry and filling problems (Part 1) : Summer School 2016 - Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01347189⟩
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