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BIRS Workshop Lecture Videos

Some existence and non-existence results for Poincare-Einstein metrics Gursky, Matt


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.

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