Matroid Theory Seminar - Owen Hill

Title: On linearly dense minor-closed classes of matroids

Abstract: In a recent paper, Geelen, Gerards, and Whittle conjectured that linearly-dense minor-closed classes of matroids have rational limiting density and are "eventually periodic." We sketch a proof of Kapadia for minor-closed classes which are are representable over a finite field and have bounded branch-width. We will then discuss how to generalize the result to minor-closed classes with bounded branch width.