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Minimal Surface Seminar

Tuesday, March 21, 2017 - 4:30pm

Peter McGrath

Brown University


University of Pennsylvania

DRL 4N30

I will discuss recent work (with Nikolaos Kapouleas) on constructions of new embedded minimal surfaces using singular perturbation 'gluing' methods. I will discuss at length doublings of the equatorial S^2 in S^3. In contrast to earlier work of Kapouleas, the catenoidal bridges may be placed on arbitrarily many parallel circles on the base S^2. This necessitates a more detailed understanding of the linearized problem and more exacting estimates on associated linearized doubling solutions.