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Positively and non-negatively curved manifolds and (torus) symmetries

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

January 19, 2016 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Catherine Searle (Wichita State University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • differential geometry

  • Riemannian geometry

  • modern geometry

  • curvature

  • curvature estimates

  • Ricci curvature

  • Ricci curvature lower bounds

  • constant curvature complex manifolds

  • non-negative sectional curvature

  • positive sectional curvature

  • torus actions

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

14426

Abstract

The classification of Riemannian manifolds with positive or non-negative sectional curvature is a long-standing problem in Riemannian Geometry. This talk will give a survey of tools and techniques, results and open problems concerning this class of manifolds with an emphasis on how (torus) symmetries play an important role in obtaining classification results

Supplements
25665?type=thumb Searle Notes 6.44 MB application/pdf Download
Video/Audio Files

14426

H.264 Video 14426.mp4 312 MB video/mp4 rtsp://videos.msri.org/data/000/025/268/original/14426.mp4 Download
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