New applications of Min-max Theory
Differential Geometry
2014-09-29 v1 Analysis of PDEs
Geometric Topology
Abstract
I will talk about my recent work with Fernando Marques where we used Almgren-Pitts Min-max Theory to settle some open questions in Geometry: The Willmore conjecture, the Freedman-He-Wang conjecture for links (jointly with Ian Agol), and the existence of infinitely many minimal hypersurfaces in manifolds of positive Ricci curvature. Some open questions are suggested in the last section.
Keywords
Cite
@article{arxiv.1409.7537,
title = {New applications of Min-max Theory},
author = {André Neves},
journal= {arXiv preprint arXiv:1409.7537},
year = {2014}
}
Comments
Appears in Proceedings of the International Congress of Mathematicians, Seoul 2014