Mean curvature flow and foliations in hyperbolic 3-manifolds

Geometric Analysis and Application
Event time: 
Friday, September 17, 2021 - 2:00pm
Franco Vargas Pallete
Speaker affiliation: 
Yale University
Event description: 


In this talk we explore some properties of the mean curvature flow with surgery and the level-set flow in negative curvature. We combine those with min-max theory to conclude that any quasi-Fuchsian and any hyperbolic 3-manifolds fibered over $S^1$ admits a foliation where every leave is minimal or has non-vanishing mean curvature. This is joint work with Marco Guaraco (Imperial College) and Vanderson Lima (Universidade Federal do Rio Grande do Sul).

Special note: 
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