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).

Seminar talk is supported in part by the Mrs. Hepsa Ely Silliman Memorial Fund.

Special note: 
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