Séminaire - Avril
Le séminaire aura lieu un mercredi par mois de 14h à 15h à l'Institut Henri Poincaré à Paris. Pour télécharger l'affiche du mois: avril.pdf.
- 24/04/2024 - Alexander Bobenko (Technische Universität Berlin)
salle Olga Ladyjenskaïa (ex-salle 01)
Titre: Orthogonal
ring patterns, discrete surfaces and integrable systems
Resumé: We
introduce orthogonal ring patterns consisting of pairs of concentric
circles. They generalize orthogonal circle patterns which can be
treated as conformal limit. It is shown that orthogonal ring patterns
in Euclidean and hyperbolic planes and in a sphere are governed by
integrable equations. We deliver variational principles which are used
to prove existence and uniqueness results, and also to compute ring
patterns with classical boundary conditions. The later are used to
generate discrete cmc surfaces. Relation to minimal surfaces
in S3 and AdS3 is discussed. Numerous virtual and
printed models as well as animation movies will be demonstrated.