2 problems

For each $n$, let $u(n)$ be the number of unlabeled matroids on $n$ elements. A matroid property is a class of matroids closed under automorphism, and let $\mathcal{P}_u(n)$ denote…

Asymptotic equality conjecture. Asymptotically almost all matroids have a facet ideal that achieves equality in the GHV lower bound. The conjecture is motivated by the theorem for…