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Explore the metric geometry of spaces of persistence diagrams in this 46-minute conference talk by Fernando Galaz-García, presented at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delivered as part of the Workshop on "Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension," delve into advanced mathematical concepts and their applications in topological data analysis. Gain insights into the geometric properties of persistence diagram spaces and their relevance to understanding complex data structures. For a comprehensive overview of the talk's content, refer to the abstract available on the ESI website.
