Geometric Analysis and Topology Seminar

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Embedded Minimal Tori in S^3

Speaker: Simon Brendle, Stanford

Location: Warren Weaver Hall 517

Date: Friday, April 11, 2014, 11 a.m.

Synopsis:

In 1970, Blaine Lawson constructed an infinite family of embedded minimal surfaces in S^3 which have higher genus. He also proved that there are many immersed minimal surfaces in S^3 of genus 1. We show that there is only one embedded minimal surface of genus 1 up to ambient isometries. The proof involves an application of the maximum principle to a function that depends on pairs of points.