Renormalized volume on the Teichmuller space of punctured Riemann surfaces
Duration: 58 mins 30 secs
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Description: |
Rochon, F (UQAM - Université du Québec à Montréal)
Tuesday 28 July 2015, 14:30-15:30 |
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Created: | 2015-07-31 16:59 |
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Collection: | Metric and Analytic Aspects of Moduli Spaces |
Publisher: | Isaac Newton Institute |
Copyright: | Rochon, F |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | We define and study the renormalized volume for geometrically finite hyperbolic 3-manifolds that may have rank-1 cusps. We prove a variation formula, and show that for certain families of convex co-compact hyperbolic metrics degenerating to a geometrically finite hyperbolic metric with rank-1 cusps, the renormalized volume converges to the renormalized volume of the limiting metric. |
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