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Ricci flat spaces and metrics with special or exceptional holonomy II

Introductory Workshop: Modern Riemannian Geometry January 18, 2016 - January 22, 2016

January 21, 2016 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Mark Haskins (Duke University)
Location: MSRI:
  • differential geometry

  • Riemannian geometry

  • modern geometry

  • curvature

  • curvature estimates

  • Ricci curvature

  • Ricci curvature lower bounds

  • holonomy

  • exceptional Lie algebras and groups

  • Dynkin diagram classification

  • convergence of metric spaces

  • Ricci flatness

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



To this day the only compact irreducible complete Ricci-flat Riemannian metrics arise as manifolds with special or exceptional holonomy. This pair of talks will give an introduction to special and exceptional holonomy metrics and the resulting constructions of both compact and noncompact Ricci-flat manifolds. We will indicate how ideas from Riemannian convergence theory have provided motivation for the currently known (and possibly for future) constructions of metrics with exceptional holonomy

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H.264 Video 14431.mp4 360 MB video/mp4 rtsp://videos.msri.org/data/000/025/294/original/14431.mp4 Download
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