Topology and Geometric Group Theory Seminar

Hyungryul BaikCornell University
Laminations on the circle and hyperbolic geometry

Tuesday, October 8, 2013 - 1:30pm
Malott 224

We will see that laminations can be used to study groups acting on the circle. In particular, it is possible to characterize Fuchsian groups in terms of topological invariant laminations. It is a geometrization result in the sense that you start with a topological dynamical data and hyperbolic geometry comes out of the picture. Main motivation of this program is Thurston's universal circle theory for tautly foliated 3-manifolds.