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Positive Scalar Curvature and Applications

Snapshots of modern mathematics from Oberwolfach

Positive Scalar Curvature and Applications

We introduce the idea of curvature, including how it developed historically, and focus on the scalar curvature of a manifold. A major current research topic involves understanding positive scalar curvature. We discuss why this is interesting and how it relates to general relativity.

Also available in Spanish.

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Mathematical subjects

Geometry and Topology

Connections to other fields

Physics

Author(s)

Jonathan Rosenberg, David Wraith

License

DOI (Digital Object Identifier)

10.14760/SNAP-2019-004-EN

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snapshots-2019-004.pdf

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snapshots: overview

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      Positive Scalar Curvature and Applications
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      Diophantine equations and why they are hard
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      The Willmore Conjecture
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      The ternary Goldbach Problem
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      Mathematical subjects

      Algebra and Number Theory
      Analysis
      Didactics and Education
      Discrete Mathematics and Foundations
      Geometry and Topology
      Numerics and Scientific Computing
      Probability Theory and Statistics

      Connections to other fields

      Chemistry and Earth Science
      Computer Science
      Engineering and Technology
      Finance
      Humanities and Social Sciences
      Life Science
      Physics
      Reflections on Mathematics

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