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Joint Princeton-Rutgers Seminar on Geometric PDE's

"Some existence and non-existence results for Poincare-Einstein metrics"

Matthew Gursky, University of Notre Dame

Location:  HILL 705
Date & time: Tuesday, 18 April 2017 at 3:00PM -




Time: 3:00 PM
Location: Hill 705
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 discuss a non-existence result (joint with Qing Han) for certain conformal classes on the 7-dimensional sphere. I will also mention some ongoing work (with Gabor Szekelyhidi) on a version of "local existence" of Poincare-Einstein metrics.

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