Speaker: 郜璐璐副教授，西北工业大学

Title: Bivariate Chow polynomials of ordered matroids

Language: Chinese

Time & Venue: 2026.06.19 14:00-15:00 思源楼525

Abstract: The real-rootedness of the Hilbert-Poincaré series of Chow rings of geometric lattices was independently conjectured by Huh-Stevens and Ferroni-Schröter. Ferroni, Matherne, and Vecchi subsequently generalized this conjecture to Chow polynomials of Cohen–Macaulay posets. In this talk, we introduce a bivariate Chow polynomial for ordered matroids and prove that it has nonnegative coefficients, symmetry, and unimodality. We further show that, in the case of uniform matroids, its explicit formula coincides with the Chow polynomial of q-uniform matroids. Finally, we establish the real-rootedness of these bivariate Chow polynomials for uniform matroids.