Hyperbolicity of hyperplane complements

Geometry Topology Seminar
Monday, December 6, 2010 - 14:05
1 hour (actually 50 minutes)
Skiles 269
Georgia Tech
We will discuss properties of manifolds obtained by deleting a totally geodesic ``divisor'' from hyperbolic manifold. Fundamental groups of these manifolds do not generally fit into any class of groups studied by the geometric group theory, yet the groups turn out to be relatively hyperbolic when the divisor is ``sparse'' and has ``normal crossings''.