Waists Measured via Urysohn Width in Riemannian Manifolds

Explore a lecture on the concept of Urysohn width and its application in measuring the "approximate dimension" of Riemannian manifolds. Delve into the relationship between positive scalar curvature and conjectured upper bounds on width. Examine an inductive approach to this conjecture, focusing on the question of whether slicing a manifold into chunks of small approximate dimension implies controlled approximate dimension for the entire manifold. Learn about several results related to this inquiry, primarily of a negative nature. Gain insights from speaker Alexey Balitsky from Luxembourg as he presents his findings in this one-hour scientific talk, available on the French video platform CARMIN.tv, which offers additional functionalities tailored for the research community.