Scalar Curvature Rigidity of Polytopes
Offered By: Centre de recherches mathématiques - CRM via YouTube
Course Description
Overview
Explore a captivating lecture on the scalar curvature rigidity of polytopes, delivered by Simon Brendle as part of the Aisenstadt Chair Lecture Series. Delve into the fascinating world of differential geometry, focusing on Riemannian metrics and curvature positivity conditions. Discover Gromov's proposed comparison principle for polytopes with nonnegative scalar curvature, inspired by Toponogov's triangle comparison theorem. Learn about a recent result verifying Gromov's conjecture under stronger hypotheses, utilizing Fredholm theory for Dirac operators on manifolds with boundary and a harmonic analysis estimate by Fefferman and Phong. Gain insights into this central theme in differential geometry and its implications for understanding the properties of polytopes and manifolds.
Syllabus
Simon Brendle: Scalar curvature rigidity of polytopes
Taught by
Centre de recherches mathématiques - CRM
Related Courses
Geometry of 2-Dimensional Riemannian Disks and Spheres - Regina RotmanInstitute for Advanced Study via YouTube Discrete Homotopy Theory and Applications
Applied Algebraic Topology Network via YouTube Geodesic Complexity of Riemannian Manifolds
Applied Algebraic Topology Network via YouTube The Gromov-Hausdorff Distance Between Spheres
Applied Algebraic Topology Network via YouTube Symmetric Spaces by Pralay Chatterjee
International Centre for Theoretical Sciences via YouTube