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Jaigyoung Choe: First eigenvalue of the Laplacian on minimal surfaces in S³

Jaigyoung Choe, Korean Institute for Advanced Studies

Time: Mon 2009-10-12 14.15

Location: Room 3733, department of mathematics, KTH, Lindstedtsvägen 25, floor 7

Contact:

Jens Hoppe 08-790 6585

Subject area: Analysis

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S.T.Yau conjectured that the first eigenvalue of the Laplacian on compact embedded minimal surfaces in S³ is 2. In this talk it will be shown that the conjecture is true for all minimal surfaces which are known to exist so far.