Geometric Analysis Seminar
Generalizing Linearized Doubling and Applications
Peter McGrath, UPenn
Location: Hill 705
Date & time: Tuesday, 12 November 2019 at 2:50PM - 3:50PM
Abstract: I will discuss recent work (with N. Kapouleas) on generalizing the linearized doubling (LD) approach for constructions of doubled minimal surfaces. By generalizing the methodology of earlier work, we construct high-genus families of: complete minimal surfaces in the Euclidean space by doubling the catenoid, free boundary minimal surfaces in the unit ball by doubling the critical catenoid, and self-shrinkers of the mean curvature flow by doubling the spherical self-shrinker.