The Kazhdan property donates an extra dimension
Talk by Prof. Dr. Roman Sauer
Date: 02.10.24 Time: 13.45 - 14.45 Room: Y27H28
The waist inequality for the sphere by Gromov is wonderful result of geometric measure theory. Formulated appropriately for families of spaces, a (uniform) waist inequality for a family of Riemannian manifolds is the Riemannian analog of higher dimensional expanders. We formulate a conjectural picture for locally symmetric spaces. Finally, we show that the Kazhdan property alone gives rise not only to expanders, which is classical, but also to 2-dimensional expanders. An extra dimension for free! This is joint work with Uri Bader.