- Series
- School of Mathematics Colloquium
- Time
- Friday, September 19, 2025 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- June Huh – Princeton University – https://web.math.princeton.edu/~huh/
- Organizer
- Harold Blum, Xiaoyu He, Julia Lindberg, Rose McCarty, John McCuan, Dmitrii Ostrovskii, and Wei Zhu
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 with Lukas Grund, Mateusz Michalek, Henrik Süss, and Botong Wang).