## Columbia Mathematics Department Colloquium

Min-max Theory and the Willmore Conjecture

by

# Andre Neves

## Imperial College

Abstract:

In 1965, T. J. Willmore conjectured that the integral of the

square of the mean curvature of a torus immersed in space is at least

2pi^2. I will talk about my recent work with Fernando Marques and

explain how this conjecture follows from the min-max theory for

minimal surfaces.

square of the mean curvature of a torus immersed in space is at least

2pi^2. I will talk about my recent work with Fernando Marques and

explain how this conjecture follows from the min-max theory for

minimal surfaces.