Title: The Magnitude of Metric Spaces
Speaker: Mark Meckes (Case Western Reserve University)
Abstract: How big is a geometric object? Of course, this question is ill-posed, with many possible answers. In this talk I’ll discuss a notion of size, named “magnitude”, introduced by Tom Leinster and Simon Willerton. As we’ll see, magnitude, which was inspired by category theory, turns out to be related to a surprising array of fields, including integral geometry, potential theory, and even theoretical ecology.