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Fernando Coda Marques : Min-max theory and the Willmore conjecture

In 1965, T. J. Willmore conjectured that the integral of the square of the mean curvature of any torus immersed in Euclidean three-space is at least 2\pi^2. In this talk we will describe a solution to the Willmore conjecture based on the min-max theory of minimal surfaces. This is joint work with Andre Neves (Imperial College, UK).

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