Renormalized volume on the Teichmuller space of punctured Riemann surfaces
58 mins 34 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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