Monotonicity theorems and how to compare them
Manh Tien Nguyen (Oxford University)
Abstract: I will present two results. The first one concerns minimal surfaces of the hyperbolic space and is a relation between their renormalised area (in the sense of Graham and Witten) and the length of their ideal boundary measured in different metrics of the conformal infinity. The second result concerns minimal submanifolds of the sphere and is a relation between their volume and antipodal-ness. Both results were obtained from the same framework, which involves new monotonicity theorems and a comparison principle for them.
algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry
Audience: researchers in the topic
CRM - Séminaire du CIRGET / Géométrie et Topologie
Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html
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The livestream is on Zoom at : uqam.zoom.us/j/98999725241 (no password is needed).
The recorded talks can be found at CIRGET channel : www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA
Organizers: | Julien Keller*, Duncan McCoy |
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