Manifolds of bounded Ricci curvature and the codimension $4$ conjecture
Location: MSRI: Simons Auditorium
algebraic geometry and GAGA
complex differential geometry
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.
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