Volume Polynomials and Log-concavity of the Characteristic Polynomials of Matroids
arXiv:2508.08391
Abstract
The Rota--Heron--Welsh conjecture (now a theorem of Adiprasito, Huh, and the author) asserts the log-concavity of the characteristic polynomial of matroids. We give an exposition of the Lorentzian polynomial proof following the work of Branden and Leake aimed at undergraduate and beginning graduate students.
43 pages. Expository note. Comments welcome!