Effective bisector estimate for PSL(2,C) with applications to circle packings

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• Ilya Vinogradov, Bristol
• Wednesday 17 October 2012, 16:00-17:00
• MR11, CMS.

If you have a question about this talk, please contact Peter Varju.

Let Gamma be a non-elementary discrete geometrically finite subgroup of PSL . Under the assumption that the critical exponent of Gamma is greater than 1 we prove an effective bisector counting theorem for Gamma. We then apply this Theorem to the Apollonian circle packing problem to get power savings and to compute the overall constant. The proof relies on spectral theory of Gamma\ PSL .

This talk is part of the Discrete Analysis Seminar series.

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