Geometric Analysis and Topology Seminar

Essential Immersed Surfaces in Closed Hyperbolic 3-Manifolds

Speaker: Jeremy Kahn

Location: Warren Weaver Hall 202

Date: Friday, October 23, 2009, 11 a.m.


Given any closed hyperbolic 3-manifold \(M\) and \(\varepsilon > 0\), we find a closed hyperbolic surface \(S\) and a map \(f: S \rightarrow M\) such that \(f\) lifts to a \((1 + \varepsilon)\)-quasi-isometry from the universal cover of \(S\) to the universal cover of \(M\). This is joint work with Vladimir Markovic.