Seminars & Colloquia Calendar
CMC doublings of minimal surfaces via min-max
Liam Mazurowski - University of Chicago
Date & time: Tuesday, 01 February 2022 at 2:50AM - 3:50PM
Abstract: An interesting problem in differential geometry is to try to understand how many constant mean curvature surfaces (CMCs) there are in a given manifold. Zhou and Zhu developed a min-max theory for constructing CMCs, and used it to show that any manifold M of dimension between 3 and 7 contains a smooth, almost-embedded CMC hypersurface of mean curvature h for every h > 0. In this talk, I will explain how this min-max theory can be used to construct CMC doublings of certain minimal surfaces in 3-manifolds. Such CMC doublings were previously constructed for minimal hypersurfaces in M^n with n > 3 by Pacard and Sun using gluing methods.
https://rutgers.zoom.us/j/97953490430?pwd=RmxtS0pnVEFmaEc5U2tlY3NDdW92Zz09. Password: 515087