Sharp Entropy Bounds of Closed Surfaces and Min-Max Theory
Speaker:
Daniel Ketover, Princeton University
Date and Time:
Thursday, September 29, 2016 - 2:00pm to 3:00pm
Location:
Fields Institute, Room 210
Abstract:
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 (resolved by F.C. Marques and A. Neves) and give a min-max proof of most cases of their conjecture.
