@prefix vivo: . @prefix edm: . @prefix dcterms: . @prefix dc: . @prefix skos: . @prefix ns0: . vivo:departmentOrSchool "Non UBC"@en ; edm:dataProvider "DSpace"@en ; dcterms:creator "Shramchenko, Vasilisa"@en ; dcterms:issued "2017-04-06T05:05:47Z"@*, "2016-10-05T10:59"@en ; dcterms:description """A method of constructing algebro-geometric solutions of rank two Schlesinger systems is presented. For an elliptic curve given as a ramified double covering of $CP^1$, a meromorphic differential is constructed with the following property: the common projection of its two zeros on the base of the covering, regarded as a function of the only moving branch point of the covering, is a solution of the Painleve VI $(1/8,-1/8,1/8,3/8)$ equation. This differential provides an invariant formulation of a classical Okamoto transformation for the Painleve VI equations. This approach is motivated by an observation of Hitchin connecting algebraic solutions of a Painleve VI equation to the Poncelet polygons in the plane. The research is partially supported by the NSF grant 1444147 and NSERC discovery grant."""@en ; edm:aggregatedCHO "https://circle.library.ubc.ca/rest/handle/2429/61128?expand=metadata"@en ; dcterms:extent "45 minutes"@en ; dc:format "video/mp4"@en ; skos:note ""@en, "Author affiliation: Universite de Sherbrooke"@en ; edm:isShownAt "10.14288/1.0343486"@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-NoDerivatives 4.0 International"@en ; ns0:rightsURI "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en ; ns0:scholarLevel "Faculty"@en ; dcterms:isPartOf "BIRS Workshop Lecture Videos (Banff, Alta)"@en ; dcterms:subject "Mathematics"@en, "Ordinary differential equations"@en, "Dynamical systems and ergodic theory"@en, "Dynamical systems"@en ; dcterms:title "Algebro-geometric solutions to Painleve VI and Schlesinger systems"@en ; dcterms:type "Moving Image"@en ; ns0:identifierURI "http://hdl.handle.net/2429/61128"@en .