The workshop will focus on the interplay of two approaches to 3-dimensional topology and geometry. The first approach follows Thurston’s Geometrization Program (completed by Perelman), and uses rigid homogeneous geometries to address purely topological problems.
In this setting hyperbolic geometry is ubiquitous and important.
The second approach arose with the discovery of the Jones knot polynomial and the 3-manifold Witten-Reshetikhin-Turaev invariants and the related Topological Quantum Field Theory (TQFTs). There are several open conjectures predicting strong relations between the two approaches.
The workshop will bring together experts in quantum topology and in hyperbolic geometry to discuss the latest developments in the area.
This workshop will include a poster session; a request for posters will be sent to registered participants in advance of the workshop.
David Futer
(Temple University)
Effie Kalfagianni
(Michigan State University)
Jessica Purcell
(Monash University)
Tian Yang
(Texas A&M University - College Station)
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