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Integrable systems blackboard seminar
Integrable systems blackboard seminar
Orthogonal ring patterns, discrete surfaces and integrable systems
Orthogonal ring patterns, discrete surfaces and integrable systems
演讲者
Alexander Bobenko
时间
2026年04月13日 15:30 至 16:30
地点
A7-201
摘要
We introduce orthogonal ring patterns consisting of pairs of concentric circles. They generalize orthogonal circle patterns which can be treated as a conformal limit. It is shown that orthogonal ring patterns in Euclidean and hyperbolic planes and in a sphere are governed by discrete 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 constant mean curvature surfaces. The relation to minimal surfaces in S3 and AdS3 is discussed. Numerous models will be presented.
The talk is based on:A.I. Bobenko, Spherical and hyperbolic orthogonal ring patterns: Integrable systems and variational principles, Trans. AMS (2025) A.I. Bobenko, T. Hoffmann, N. Smeenk, Discrete constant mean curvature surfaces and orthogonal ring patterns. Geometry from
combinatorics, arXiv:2410.08915 (2024)
The talk is based on:A.I. Bobenko, Spherical and hyperbolic orthogonal ring patterns: Integrable systems and variational principles, Trans. AMS (2025) A.I. Bobenko, T. Hoffmann, N. Smeenk, Discrete constant mean curvature surfaces and orthogonal ring patterns. Geometry from
combinatorics, arXiv:2410.08915 (2024)