"Non UBC"@en . "DSpace"@en . "Gursky, Matt"@en . "2017-11-18T22:01:42"@en . "2017-05-22T17:12"@en . "Abstract: I will begin with a brief overview of the existence question for conformally compact Einstein manifolds with prescribed conformal infinity. After stating the seminal result of Graham-Lee, I will mention a recent non-existence result (joint with Qing Han) for certain conformal classes on the 7-dimensional sphere. I will then discuss some ongoing work (with Gabor Szekelyhidi) on a version of \"local existence\" of Poincare-Einstein metrics."@en . "https://circle.library.ubc.ca/rest/handle/2429/63637?expand=metadata"@en . "43 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: University of Notre-Dame"@en . "10.14288/1.0357993"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Faculty"@en . "BIRS Workshop Lecture Videos (Oaxaca de Ju\u00E1rez (Mexico))"@en . "Mathematics"@en . "Partial differential equations"@en . "Differential geometry"@en . "Some existence and non-existence results for Poincare-Einstein metrics"@en . "Moving Image"@en . "http://hdl.handle.net/2429/63637"@en .