Explicit Moduli for Closed Genus 2 Surfaces

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• Iain Aitchison, Melbourne
• Monday 19 October 2009, 16:00-17:00
• MR 4.

If you have a question about this talk, please contact Jake Rasmussen.

I will explicitly describe the Teichmuller and Moduli spaces for closed surfaces of genus 2, following the path suggested by Rivin, Leibon and Springborn: (Compactified) Teichm uller space is tiled by copies of 10 explicit (relatively simple) 6-dimensional polyhedra, each parametrizing the possible realizations in hyperbolic geometry of a Delauney triangulation/ circle pattern with one of 10 specified underlying graphs.

This talk is part of the Differential Geometry and Topology Seminar series.

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