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Level set methods for scalar curvature on three-manifolds

By Daniel Stern

We'll discuss a circle of ideas developed over the last few years relating scalar curvature lower bounds to the structure of level sets of solutions to certain geometric pdes on 3-manifolds. We'll describe applications to the study of 3-manifold geometry and initial data sets in general relativity, drawing comparisons with other pde methods for detecting the influence of scalar curvature.

Information about the video

  • Date of recording 17/06/2022
  • Date of publication 30/06/2022
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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