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Ricci flat spaces and metrics with special or exceptional holonomy I

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

January 18, 2016 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Mark Haskins (Duke University)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • differential geometry

  • Riemannian geometry

  • modern geometry

  • curvature

  • curvature estimates

  • Ricci curvature

  • Ricci curvature lower bounds

  • holonomy

  • convergence of metric spaces

  • Ricci flatness

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

14423
Abstract

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
Supplements
25663?type=thumb Haskins Notes 5.76 MB application/pdf Download
Video/Audio Files

14423

H.264 Video 14423.mp4 360 MB video/mp4 rtsp://videos.msri.org/14423/14423.mp4 Download
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