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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. 

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