Thu, January 22, 2026
4:00 pm - 5:15 pm
University Hall 14
June Huh
Princeton University
Title
Volume polynomials
Abstract
Volume polynomials constitute a distinguished class of log-concave polynomials with remarkable analytic and combinatorial properties arising from convex bodies and projective varieties. I will introduce new entropy inequalities satisfied by volume polynomials, discuss applications to the combinatorics of algebraic matroids, introduce the new class of analytic matroids, and pose several open questions. (Based on joint work with Lukas Grund, Mateusz Michalek, Henrik Süss, and Botong Wang).