Foliations of 3-manifolds of positive scalar curvature by surfaces of controlled size

Yevgeny Liokumovich (Toronto)

18-May-2021, 12:45-13:45 (3 years ago)

Abstract: 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 work with 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).

differential geometry

Audience: researchers in the topic


B.O.W.L Geometry Seminar

Organizers: Joel Fine, Lorenzo Foscolo*, Peter Topping
Curators: Jason D Lotay*, Costante Bellettini, Bruno Premoselli, Felix Schulze, Huy The Nguyen, Marco Guaraco, Michael Singer
*contact for this listing

Export talk to