2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

Collection 2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

Organizer(s) Bromberg, Kenneth ; Haïssinsky, Peter ; Hamenstädt, Ursula ; Maloni, Sara ; Sambarino, Andrés ; Schapira, Barbara

Date(s) 23/06/2025 - 27/06/2025

linked URL https://indico.math.cnrs.fr/event/11570/

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The bending lamination conjecture for hyperbolic 3-manifolds

By Jean-Marc Schlenker

Convex co-compact hyperbolic manifolds contain a smallest non-empty geodesically convex subset, called their convex core. The "pleating" of the boundary of this convex core is recorded by a measured lamination, called the bending lamination, and Thurston conjectured that convex co-compact hyperbolic 3-manifolds are uniquely determined by their bending lamination. We will describe a proof of this conjecture (joint with Bruno Dular) and then explain how the statement is part of a broader picture concerning convex domains in hyperbolic manifolds.

Information about the video

Date of recording 23/06/2025
Date of publication 30/06/2025
Institution IHP
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2025.T2.WS2.001
Cite this video Schlenker, Jean-Marc (23/06/2025). The bending lamination conjecture for hyperbolic 3-manifolds. IHP. Audiovisual resource. DOI: 10.57987/IHP.2025.T2.WS2.001
URL https://dx.doi.org/10.57987/IHP.2025.T2.WS2.001

Domain(s)

Geometric Topology

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