3-Manifold Seminar: Quasi-Fuchsian surface subgroups
Seminar | April 11 | 3:40-5 p.m. | 891 Evans Hall
Alvin Kerber, UC Berkeley
Given a geometrically finite Kleinian group, we can ask whether it contains any quasi-Fuchsian surface subgroups. The answer is yes for closed hyperbolic 3-manifolds (Kahn-Markovic) and more generally for finite volume hyperbolic 3-manifolds (Masters-Zhang, Baker-Cooper). We'll discuss some background on this problem and outline a strategy for the case of infinite volume. We'll then present new results for an infinite-volume special case, books of I-bundles.