Seminars & Colloquia Calendar

Download as iCal file

Geometric Analysis Seminar

CMC doublings of minimal surfaces via min-max

Liam Mazurowski - University of Chicago

Location:  Zoom
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.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.