The harmonic polytope

Abstract: This talk, based on joint work with Federico Ardila, is about the harmonic polytope, which arose in Ardila, Denham, and Huh’s work on the Lagrangian geometry of matroids. We show that the harmonic polytope is a (2n-2)-dimensional polytope with (n!)^2(1+1/2+···+1/n) vertices and 3n-3 facets. Lastly, we use the Bernstein-Khovanskii-Kushnirenko Theorem to give a formula for its volume.

computational geometrydiscrete mathematicscommutative algebracombinatorics

Audience: researchers in the topic

Copenhagen-Jerusalem Combinatorics Seminar

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