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Learn about additional symplectic structures on the space of unparametrized space curves in this 24-minute mathematics lecture delivered at the Erwin Schrödinger International Institute's Thematic Programme on "Infinite-dimensional Geometry." Explore how the canonical Marsden-Weinstein symplectic structure can be generalized, drawing inspiration from recent developments in shape analysis. Discover new Hamiltonian flows derived from these novel structures, complete with computer animations demonstrating their properties. The presentation, based on collaborative research with Martin Bauer and Peter Michor, advances our understanding of infinite-dimensional symplectic orbifolds and their mathematical properties.
