The boundary of the curve complex

Geometry Topology Student Seminar
Wednesday, December 3, 2014 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
I will present a result of Klarreich on the boundary at infinity of the complex of curves of a compact orientable surface. The complex of curves is a delta-hyperbolic space so it has a boundary which is the set of equivalence classes of quasi-geodesic rays. Klarreich shows that the resulting space is homeomorphic to the space of minimal foliations of the surface.