# 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.

Synopsis:

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.