@prefix vivo: . @prefix edm: . @prefix dcterms: . @prefix dc: . @prefix skos: . @prefix ns0: . vivo:departmentOrSchool "Non UBC"@en ; edm:dataProvider "DSpace"@en ; dcterms:creator "Liokumovich, Yevgeny"@en ; dcterms:issued "2014-08-06T23:52:01Z"@en, "2013-08-05"@en ; dcterms:description "Consider Riemannian 2-sphere M of area A and diameter d. We prove that there exists a slicing of M by loops of length ≤ 200d max{1, log(A/d2 )}. We construct examples showing that this bound is optimal up to a constant factor. This is a joint work with A. Nabutovsky and R. Rotman. Related questions about sweep-outs and slicings of surfaces will also be discussed."@en ; edm:aggregatedCHO "https://circle.library.ubc.ca/rest/handle/2429/49418?expand=metadata"@en ; dcterms:extent "45 minutes"@en ; dc:format "video/mp4"@en ; skos:note ""@en, "Author affiliation: University of Toronto"@en ; edm:isShownAt "10.14288/1.0043473"@en ; dcterms:language "eng"@en ; ns0:peerReviewStatus "Unreviewed"@en ; edm:provider "Vancouver : University of British Columbia Library"@en ; dcterms:publisher "Banff International Research Station for Mathematical Innovation and Discovery"@en ; dcterms:rights "Attribution-NonCommercial-NoDerivs 2.5 Canada"@en ; ns0:rightsURI "http://creativecommons.org/licenses/by-nc-nd/2.5/ca/"@en ; ns0:scholarLevel "Graduate"@en ; dcterms:isPartOf "BIRS Workshop Lecture Videos (Banff, Alta)"@en ; dcterms:subject "Mathematics"@en, "Differential geometry"@en, "Manifolds and cell complexes"@en ; dcterms:title "Slicing of Riemannian 2-surfaces by short curves"@en ; dcterms:type "Moving Image"@en ; ns0:identifierURI "http://hdl.handle.net/2429/49418"@en .