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Scalar curvature rigidity and extremality in dimension 4

By Renato Bettiol

In this talk, I will discuss the Finsler--Thorpe trick for curvature operators in dimension 4, and how it can be combined with twisted spinor methods to show that large classes of compact 4-manifolds, with or without boundary, with nonnegative sectional curvature are area-extremal for scalar curvature. These techniques also show that any region of positive sectional curvature on a 4-manifold is locally area-extremal. This is joint work with McFeely Jackson Goodman (UC Berkeley).

Information about the video

  • Date of recording 11/11/2022
  • Date of publication 17/11/2022
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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