**Title:** Yamabe Lecture 1: Minimal surfaces and the Willmore Conjecture

**Speaker:** Fernando CodÃ¡ Marques

**Speaker Info:** IMPA

**Brief Description:**

**Special Note**:

**Abstract:**

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 series of three lectures we will describe a proof of this conjecture that uses the min-max theory of minimal surfaces. This is joint work with Andre Neves.The first lecture will be of a more general character. The goal is to explain the history and motivation of the problem, as well as give an overview of the argument.

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