The enclosed volume of CMC surfaces in the 3-sphere
Organizers
Speaker
Time
Tuesday, May 6, 2025 2:45 PM - 4:30 PM
Venue
A3-4-301
Online
Zoom 815 762 8413
(BIMSA)
Abstract
Building on Hitchin’s work of the Wess-Zumino-Witten term for harmonic maps into Lie groups, we derive a formula for the enclosed volume of a compact CMC surface in S3 in terms of its associated family of flat connections. We specify this formula for various examples including some of genus g > 1 which are given in terms of Fuchsian DPW potentials. Joint work with L. Heller and M. Traizet.
Speaker Intro
PhD in 2008, Humboldt Universität Berlin, Germany. Habilitation in 2014, Universität Tübingen, Germany. Professor at Beijing Institute of Mathematical Sciences and Applications since 2022. Research interests: minimal surfaces, harmonic maps, Riemann surfaces, Higgs bundles, moduli spaces, visualisation and experimental mathematics.