PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact John Roe, Dmitri Burago, Anatole Katok, Thomas Barthelme.

Title:Spectral Curves of Constant Mean Curvature Tori
Seminar:Geometry Luncheon Seminar
Speaker:Emma Carberry, University of Sydney
Abstract:
Constant mean curvature 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. I will address these periodicity questions for the spherical and Euclidean cases, using Whitham deformations, which I will explain.

Room Reservation Information

Room Number:MB114
Date:04 / 23 / 2014
Time:12:05pm - 01:20pm