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dc.contributor.authorWerner, Elisabeth
dc.date.accessioned2020-01-06T20:57:39Z
dc.date.available2020-01-06T20:57:39Z
dc.date.issued2019-12-12
dc.identifier.urihttp://hdl.handle.net/1853/62165
dc.descriptionPresented on December 11, 2019 at 3:45 p.m. in the Bill Moore Student Success Center, Press Rooms A & B, Georgia Tech.en_US
dc.descriptionWorkshop in Convexity and Geometric Aspects of Harmonic Analysisen_US
dc.descriptionElisabeth Werner, Case Western Reserve University, Department of Mathematics, Applied Mathematics and Statisticsen_US
dc.descriptionRuntime: 57:30 minutesen_US
dc.description.abstractTwo important closely related notions in affine convex geometry are the floating body and the affine surface area of a convex body. The floating body of a convex body is obtained by cutting off caps of volume less or equal to a fixed positive constant. Taking the right-derivative of the volume of the floating body gives rise to an affine invariant, the affine surface area. This was established for all convex bodies in all dimensions by Schuett and Werner. There is a natural inequality associated with affine surface area, the affine isoperimetric inequality, which states that among all convex bodies, with fixed volume, affine surface area is maximized for ellipsoids. Due to its important properties, which make them effective and powerful tools, affine surface area and floating body are omnipresent in geometry and have applications in many other areas of mathematics, e.g., in problems of approximation of convex bodies by polytopes and for the notion of halfspace depth for multivariate data from statistics.en_US
dc.format.extent57:30 minutes
dc.language.isoen_USen_US
dc.publisherGeorgia Institute of Technologyen_US
dc.subjectApproximationen_US
dc.subjectFloating bodiesen_US
dc.titleFloating Bodies and Approximation - Part 3en_US
dc.typeLectureen_US
dc.typeVideoen_US
dc.contributor.corporatenameGeorgia Institute of Technology. School of Mathematicsen_US
dc.contributor.corporatenameCase Western Reserve Universityen_US


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