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Explore the intricacies of constant mean curvature surfaces in space forms through this hour-long conference talk from the ICBS2024. Delve into the mathematical description of these surfaces using associated families of flat connections. Learn how to compute crucial quantities like area and enclosed volume from the invariants (monodromies) of flat connections. Gain insights from the collaborative research of Sebastian Heller, L. Heller, and M. Traizet as they present their findings on constant mean curvature surfaces in the 3-sphere and Euclidean 3-space.
