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Seminar

Riemannian Geometry: Families of minimal surfaces with fixed topology near the plane in $\mathbb{R}^3$ March 29, 2016 (11:00 AM PDT - 12:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Stephen Kleene (University of Rochester)
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I will discuss my  work with Niels Moller on extending Kapouleas type desingularizations of catenoids in $\mathbb{R}^3$  to desingularizations with  fixed topology and arbitrarily small intersection angles. A motivation is a conjecture of Ros that moduli spaces of complete embedded minimal surfaces with finite topology are usually non-compact. An interesting refinement  of our method is precise estimates for the change on the logarithmic growth of the ends of the catenoids to be desingularized.

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