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Positive scalar curvature with point singularities

By Rudolf Zeidler

Appears in collection : Not Only Scalar Curvature Seminar

I will explain a certain topological construction of positive scalar curvature metrics with uniformly Euclidean ($L^\infty$) point singularities. This provides counterexamples to a conjecture of Schoen. It also shows that there are metrics with uniformly Euclidean point singularities which cannot be smoothed via a geometric flow while simultaneously preserving non-negativity of the scalar curvature. Based on recent joint work with Simone Cecchini and Georg Frenck (arXiv:2407.20163).

Information about the video

  • Date of recording 02/10/2024
  • Date of publication 04/10/2024
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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