Uryson width and volume
Analysis and Geometry Seminar
7th May 2020, 3:15 pm – 4:15 pm
Online, (contact organisers for details)
I will give a brief survey of some problems in curvature free geometry and sketch a new proof of the following:
Theorem (Guth). There is some δ(n)>0 such that if (M^n,g) is a closed aspherical Riemannian manifold and V(R) is the volume of the largest ball of radius R in the universal cover of M, then V(R)≥δ(n)R^n for all R.
I will also discuss some recent related questions and results.