Sharp entropy bounds of closed surfaces and min-max theory
Apparaît dans la collection : Summer School 2016 - Geometric Analysis, Metric Geometry and Topology
In 2012, Colding-Ilmanen-Minicozzi-White conjectured that the entropy of any closed surface in R^3 is at least that of the self-shrinking two-sphere. I will explain joint work with X. Zhou where we interpret this conjecture as a parabolic version of the Willmore problem and give a min-max proof of (most cases) of their conjecture.
