Séminaires : Géométrie et dynamique dans les espaces de modules

Séminaire mensuel à l'Institut Henri Poincaré, plupart du temps mercredi de 14h à 15h salle Olga Ladyjenskaïa (ex-salle 01). Pour plus de détails voire la page web :

http://carlos.matheus.perso.math.cnrs.fr/seminaire/index.html

Monthly seminar at the Institute Henri Poincaré. It usually takes place on Wednesday from 2pm to 3pm at the room Olga Ladyjenskaïa (ex-room 01). For more details see

http://carlos.matheus.perso.math.cnrs.fr/seminaire/index.html

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.