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Aspects of Einstein metrics on 4-manifolds I

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

January 18, 2016 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Michael Anderson (State University of New York, Stony Brook)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • differential geometry

  • Riemannian geometry

  • modern geometry

  • curvature

  • curvature estimates

  • Ricci curvature

  • Ricci curvature lower bounds

  • Einstein manifolds

  • Einstein equations

  • 4-manifolds

  • moduli spaces

  • moduli spaces of metrics

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

14424
Abstract

These lectures will discuss classical and more recent research on selected topics in the area of Einstein metrics on 4-dimensional manifolds. The basic questions concern existence and uniqueness of such metrics. Broadly speaking, the first lecture will discuss uniqueness issues; more precisely the apriori structure of the (moduli) space of Einstein metrics on a given manifold. The second lecture will turn to the more difficult existence questions (on manifolds with boundary)
Supplements
25287?type=thumb References 64.4 KB application/pdf Download
25664?type=thumb Anderson Notes 5.2 MB application/pdf Download
Video/Audio Files

14424

H.264 Video 14424.mp4 343 MB video/mp4 rtsp://videos.msri.org/14424/14424.mp4 Download
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