| Orateur(s)|| Richard Bamler - UC|Berkeley,
| Titre ||Compactness and partial regularity theory of Ricci ows in higher dimensions|
| Horaire||15:45 à 17:00|
| Diffusion |
| Résume||We present a new compactness theory of Ricci flows. This theory states that any sequence of Ricci flows that is pointed in an appropriate sense, subsequentially converges to a synthetic flow. Under a natural non-collapsing condition, this limiting flow is smooth on the complement of a singular set of parabolic codimension at least 4.We furthermore obtain a stratification of the singular set with optimal dimensional bounds depending on the symmetries of the tangent flows. Our methods also imply the correspondingquantitative stratifiation result and the expected L^p-curvature bounds.
As an application we obtain a description of the singularity formation at the first singular time and a long-time characterization of immortal flows, which generalizes the thick-thin decomposition in dimension 3.We also obtain a backwards pseudolocality theorem and discuss several other applications.|
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