Yevgeny Liokumovich will talk on 18th May at 1.45pm UK time, 2.45pm Belgian time. Yevgeny’s title is “Foliations of 3-manifolds of positive scalar curvature by surfaces of controlled size” and his abstract is below.
Foliations of 3-manifolds of positive scalar curvature by surfaces of controlled size.
Let M be a compact 3-manifold with scalar curvature at least 1. We show that there exists a Morse function f on M, such that every connected component of every fiber of f has genus, area and diameter bounded by a universal constant. The proof uses Min-Max theory and Mean Curvature Flow. This is a joint workwith Davi Maximo. Time permitting, I will discuss a related problem for macroscopic scalar curvature in metric spaces (joint with Boris Lishak, Alexander Nabutovsky and Regina Rotman).