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Explore a novel mathematical concept in this 30-minute conference talk that introduces a new notion of approximability for metric spaces, representing a categorification of Turing's concept for metric groups and a generalization of total-boundedness. Discover how recent advances in symplectic topology and persistence category theory enable discussions about approximability of spaces of Lagrangian submanifolds. Learn about applications to rigidity and complexity of Lagrangians, along with potential connections to open problems in Lagrangian topology. Gain insights into cutting-edge research presented as part of the IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar series, featuring collaborative work between researchers from ETH Zürich and other leading institutions in the field of symplectic geometry and topology.
