Description

Run by the Institute for Pure and Applied Mathematics (IPAM), this workshop is part of the long program Quantum Topology, Character Varieties and Low-Dimensional Geometry. It brings together experts in quantum topology and hyperbolic geometry to discuss developments connecting two approaches to three-dimensional topology and geometry.

The first approach follows Thurston’s Geometrization Program, completed by Perelman, using rigid homogeneous geometries to address topological problems, with hyperbolic geometry playing a central role. The second arises from the Jones knot polynomial, three-manifold Witten–Reshetikhin–Turaev invariants, and related Topological Quantum Field Theories. The workshop explores the relationships predicted by several open conjectures and includes a poster session.