Geometric Analysis and Topology Seminar
Embedded Minimal Tori in S^3
Speaker: Simon Brendle, Stanford
Location: Warren Weaver Hall 517
Date: Friday, April 11, 2014, 11 a.m.
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.