2023年8月28日，天津师范大学张彪副教授应邀访问组合数学中心，并作了题为“Hilbert-Poincare series of matroid chow rings and their real-rootedness”的学术报告，并与组合中心师生进行了热烈的交流讨论。
报告摘要：In 2004, Feichtner and Yuzvinsky introduced the notion of Chow ring for an arbitrary finite atomic lattice. Recently, Braden, Huh, Matherne, Proudfoot, and Wang introduced an “augmented” version of the Chow ring of a matroid. This talk is about Hilbert-Poincare series of these two objects. The resulting polynomials of boolean matroids coincide with Eulerian and binomial Eulerian polynomials. The real-rootedness of the Hilbert series of the augmented Chow rings of uniform matroids was proved via a technique introduced by Haglund and Zhang.