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C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 1Summer School 2021 - Curvature Constraints and Spaces of Metrics

2021-06-21

Description : We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and theorems that may be applied to prove these open questions including older techniques developed with Lakzian, with Huang and Lee, and with Portegies. I will also present key new results of Allen and Perales. Students and postdocs interested in working on these problems will be formed into teams. For a complete list of papers about intrinsic flat convergence see: https://sites.google.com/site/intrinsicflatconvergence/


https://hal.archives-ouvertes.fr/hal-03379618
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Submitted on : Friday, October 15, 2021 - 9:42:49 AM
Last modification on : Wednesday, October 20, 2021 - 3:18:36 AM
Long-term archiving on: : Sunday, January 16, 2022 - 6:48:28 PM