@inproceedings{bf0d349830c14df2a366286e3325eb81,
title = "Minimal surfaces: Variational theory and applications",
abstract = "Minimal surfaces are among the most natural objects in Differential Geometry, and have been studied for the past 250 years ever since the pioneering work of Lagrange. The subject is characterized by a profound beauty, but perhaps even more remarkably, minimal surfaces (or minimal submanifolds) have encountered striking applications in other fields, like three-dimensional topology, mathematical physics, conformal geometry, among others. Even though it has been the subject of intense activity, many basic open problems still remain. In this lecture we will survey recent advances in this area and discuss some future directions. We will give special emphasis to the variational aspects of the theory as well as to the applications to other fields.",
keywords = "Calculus of variations, Conformal geometry, Minimal surfaces, Three-manifold topology",
author = "Marques, {Fernando Cod{\'a}}",
note = "Publisher Copyright: {\textcopyright} 2014 by SEOULICM 2014 Organizing Committee. All rights reserved.; 2014 International Congress of Mathematicans, ICM 2014 ; Conference date: 13-08-2014 Through 21-08-2014",
year = "2014",
language = "English (US)",
series = "Proceeding of the International Congress of Mathematicans, ICM 2014",
publisher = "KYUNG MOON SA Co. Ltd.",
pages = "283--310",
editor = "Jang, {Sun Young} and Kim, {Young Rock} and Dae-Woong Lee and Ikkwon Yie",
booktitle = "Plenary Lectures and Ceremonies",
}