SMS scnews item created by Stephan Tillmann at Tue 26 Aug 2014 1545
Type: Seminar
Distribution: World
Expiry: 25 Nov 2014
Calendar1: 27 Aug 2014 1105-1155
CalLoc1: Carslaw 535A
Auth: tillmann@p710.pc (assumed)

Geometry-Topology-Analysis Seminar

Toroidal Soap Bubbles

Emma Carberry

GTA Seminar -- Wednesday 27 August -- 11:00�12:00 in Carslaw 535A

Toroidal Soap Bubbles: Constant Mean Curvature Tori in S3 and R3

Emma Carberry (Sydney)

Abstract

Constant mean curvature (CMC) tori in S3, R3 or H3 are in bijective correspondence with spectral curve data, consisting of a hyperelliptic curve, a line bundle on this curve and some additional data, which in particular determines the relevant space form. This point of view is particularly relevant for considering moduli-space questions, such as the prevalence of tori amongst CMC planes and whether tori can be deformed. I will address these questions for the spherical and Euclidean cases, using Whitham deformations.


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