Temperley-Lieb Algebra - Visualizing Meanders and Idempotents
By Louis H. Kauffman
Some instances where topological illustration induced new mathematics
By Sofia Lambropoulou
By Hugo Parlier
Appears in collection : 2026 - T1 - WS2 - Bridging visualization and understanding in Geometry and Topology
This talk has three parts, all centered around illustration. First, some puzzle spaces that offer a hands-on route into the geometry of moduli spaces. Then the setting moves to hyperbolic surfaces and what it means to illustrate on them. Finally, the talk turns meta: how a collection of drawings can itself be organized into a moduli space.
Parts of the talk are based on joint projects with Peter Buser, Paul Turner, Bruno Teheux, Mario Gutiérrez and Reyna Juárez.