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May 30, 2020

Online Magnitude Talk by Mark Meckes

Posted by Simon Willerton

For any magnitude fans out there, Mark Meckes is giving a Zoom talk at the Online Asymptotic Geometric Analysis Seminar next Saturday, June 6, 11:30AM (New York time) 4:30PM (Sheffield time).

  • Magnitude and intrinsic volumes of convex bodies.

Abstract: Magnitude is an isometric invariant of metric spaces with origins in category theory. Although it is very difficult to exactly compute the magnitude of interesting subsets of Euclidean space, it can be shown that magnitude, or more precisely its behavior with respect to scaling, recovers many classical geometric invariants, such as volume, surface area, and Minkowski dimension. I will survey what is known about this, including results of Barcelo-Carbery, Gimperlein-Goffeng, Leinster, Willerton, and myself, and sketch the proof of an upper bound for the magnitude of a convex body in Euclidean space in terms of intrinsic volumes.

Posted at May 30, 2020 6:19 PM UTC

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Re: Online Magnitude Talk by Mark Meckes

Next weekend will be a bounty of riches, as there’s also the Workshop on Categorical Probability and Statistics, run by Tobias Fritz and Rory Lucyshyn-Wright.

Posted by: Tom Leinster on May 30, 2020 7:58 PM | Permalink | Reply to this

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