摘要：Since June Huh proved the long-standing Heron–Rota–Welsh conjecture on matroids by establishing the Kähler package, mathematicians have begun exploring geometric analogues of matroids. In this talk, I will present recent work on characteristic classes within the matroid framework, focusing on joint work with Ronnie Cheng.

By interpreting the normalized Chow polynomial coefficients of a matroid as a probability distribution, we derive new inequalities for its central moments. These moment inequalities are then connected to algebraic geometry via the Hirzebruch \chi_y-genus, yielding new inequalities for matroidal Chern numbers.