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)

# 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 $$S^3$$ and $$R^3$$

Emma Carberry (Sydney)

Abstract

Constant mean curvature (CMC) tori in $$S^3$$, $$R^3$$ or $$H^3$$ 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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