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A colloquium on discrete curvature

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Metric Ricci Curvature and Flow for PL Manifolds

Emil Saucan

Slides are available by following the link.

We introduce a metric Ricci flow for PL surfaces and its applications to Imaging and related fields. We concentrate on such problems as existence, reversibility and singularities formation, as well as realizability in $\mathbf^3$.

Furthermore, we propose a Ricci curvature for PL manifolds and its applications to Graphics. We also prove a fitting analogue of the Bonnet-Myers Theorem.

This represents joint work with David Gu.