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Curvature bounds for surfaces in hyperbolic 3-manifolds

Student-Run Geometry/Topology Seminar

Speaker: Bill Breslin, UC Davis
Location: 2112 MSB
Start time: Thu, Jan 25 2007, 1:10PM

Given a surface in a hyperbolic 3-manifold, how much can it be flattened via isotopy? We will discuss how to use normal surface theory, the thick-thin decomposition of hyperbolic 3-manifolds, and a theorem about geodesic triangulations to obtain universal curvature bounds for surfaces in hyperbolic 3-manifolds.