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This lecture by Roman Sauer from Karlsruhe Institute of Technology (KIT) explores a generalization of Gromov's main inequality between volume and simplicial volume. Discover how macroscopic scalar curvature bounds can replace lower Ricci curvature bounds, extending Guth's theorem from hyperbolic manifolds to arbitrary Riemannian manifolds. Learn about the joint work with Sabine Braun and the quantitative version later developed by Hannah Alpert. The 88-minute presentation delves into mathematical concepts at the intersection of differential geometry and topology, offering insights for researchers and advanced students in these fields.
