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Information, Geometry, and Physics Seminar

Wednesday, May 24, 2023
2:00pm to 3:00pm
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Linde Hall 310
The Magnitude of a Metric Space
Mark Meckes, Department of Mathematics, Applied Mathematics, and Statistics, Case Western Reserve University,

Magnitude is a numerical isometric invariant of metric spaces defined recently by Tom Leinster, based on considerations from category theory. Despite the subject's youth, it has found connections with other invariants from a large and growing number of fields, including theoretical ecology, graph theory, topological data analysis, potential theory, and integral geometry. I will discuss the basic definitions and motivation and give a broad survey of these connections, ending with some applications in high-dimensional convexity.

For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].