Athanasiadis–Kalampogia-Evangelinou's real-rootedness conjecture for Bergman-complex h-polynomials
Let M\mathrm{M}M be a matroid, let L(M)\mathcal{L}(\mathrm{M})L(M) be its lattice of flats, and let Δ(L^(M))\Delta(\widehat{\mathcal{L}}(\mathrm{M}))Δ(L(M)) be the order complex of its proper nonempt…