Wednesday, June 26, 2019

Wednesday, June 26, 2019 — 3:30 PM EDT

Title: Quadratically Dense Matroids

Speaker: Zach Walsh Affiliation: University of Waterloo Room: MC 5479

Abstract:

We discuss recent work proving that for any integer $t\ge 2$, any maximum-sized simple $\mathbb C$-representable matroid $M$ of large rank with no $U_{2,t+3}$-minor satisfies $|M|=t{r(M)\choose 2}+r(M)$. It was not our intention to prove this result, so we will first explain our original motivation. We assume only basic knowledge of matroid theory.

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