Workshop I: Hyperbolic Structures and Quantum Invariants
Workshop convening experts to advance research at the interface of hyperbolic geometry and quantum topology in 3-dimensional topology and geometry.
Funder: Institute for Pure and Applied Mathematics
Due Dates: August 12, 2026: Application/registration received by this date to receive fullest consideration for attendance funding
Funding Amounts: Registration fees: $25–$100 (varies by category); funding available for travel/attendance support, especially for early-career researchers
Summary: Workshop bringing together experts in hyperbolic geometry and quantum topology to discuss advances and connections in 3-dimensional topology and geometry.
Key Information: Funding priority given to recent PhDs, graduate students, and early-career researchers; all career stages encouraged to apply.
Description
This workshop explores the intersection of two major approaches in 3-dimensional topology and geometry: Thurston’s Geometrization Program, which uses rigid homogeneous geometries (notably hyperbolic geometry) to address topological problems, and the quantum topology framework, which includes developments such as the Jones knot polynomial and 3-manifold invariants like the Witten-Reshetikhin-Turaev invariants and Topological Quantum Field Theories (TQFTs). The event aims to foster discussion on the latest advances and unresolved conjectures linking these perspectives, and will bring together leading researchers in quantum topology and hyperbolic geometry. The workshop will also feature a poster session for participants.
