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Volume estimates for ideal hyperbolic polyhedra

Student-Run Geometry/Topology Seminar

Speaker: Chris Atkinson, UC Berkeley
Location: 3106 MSB
Start time: Tue, Feb 12 2008, 1:10PM

Andreev's theorem says, roughly, that knowing the geometric data of a non-obtuse hyperbolic polyhedron is equivalent to knowing the combinatorial data encoded in its 1-skeleton, labeled by dihedral angles. In this talk, I will exploit this equivalence to give volume estimates for two families of ideal hyperbolic polyhedra in terms of their associated combinatorial data.