Uniform models for hyperbolic 3-manifolds

Geometry & Topology
Event time: 
Tuesday, October 26, 2021 - 4:15pm
LOM 214
Yair Minsky
Speaker affiliation: 
Yale University
Event description: 

I'll discuss the problem of predicting the internal structure of a 3-manifold from its end invariants. While this has a pretty satisfying answer for manifolds homeomorphic to (surface)x(interval), we do not have a complete answer in general which is --uniform over an entire deformation space--. In joint work with Ken Bromberg and Dick Canary, we construct such a model for manifolds with incompressible boundary, prove it gives estimates in one direction, and use this to establish an old theorem of Thurston whose original proof is not known.