**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 \(S^3\) 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.