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

Speaker:
Jeff Cheeger

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.

Link:
https://www.msri.org/workshops/704/schedules/20804

Workshop:
MSRI- Kähler Geometry, Einstein Metrics, and Generalizations