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Manifolds of bounded Ricci curvature and the codimension $4$ conjecture

Kähler Geometry, Einstein Metrics, and Generalizations March 21, 2016 - March 25, 2016

March 22, 2016 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Jeff Cheeger (New York University, Courant Institute)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • algebraic geometry and GAGA

  • mathematical physics

  • complex differential geometry

  • Kahler metric

  • mirror symmetry

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

14462
Abstract

Let $X$ denote the Gromov-Hausdorff limit of a noncollapsing sequence of riemannian manifolds $(M^n_i,g_i)$, with uniformly bounded Ricci curvature.  Early workers conjectured (circa 1990) that $X$ is a smooth manifold off a closed subset of Hausdorff codimension $4$.  We will explain a proof of this conjecture. This is joint work with Aaron Naber.
Supplements
25554?type=thumb Cheeger 66.8 KB application/pdf Download
Video/Audio Files

14462

H.264 Video 14462.mp4 373 MB video/mp4 rtsp://videos.msri.org/14462/14462.mp4 Download
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