### 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.

## Comments are closed.