Waist Inequalities and the Kazhdan Property

This lecture by Roman Sauer explores the fascinating connection between waist inequalities and the Kazhdan property in geometric measure theory. Delve into Gromov's waist inequality for the sphere and discover how, when formulated for families of spaces, a uniform waist inequality for Riemannian manifolds serves as the Riemannian analog of higher dimensional expanders. Learn how the Kazhdan property generates not only traditional Riemannian expanders but also 2-dimensional expanders. The 57-minute presentation from the Hausdorff Center for Mathematics covers joint work with Uri Bader, offering valuable insights into this advanced mathematical topic.