3:45PM: Closures of a linear spaceAdam BoocherIf $L\subset \mathbb{A}^n$ is a linear space then we can take its closure in $(\mathbb{P}^1)^n$ once we fix coordinates. In this talk I'll present joint work with Federico Ardila concerning the defining ideal of the closure. It turns out the combinatorics of this ideal are completely determined by a matroid associated to $L$. We'll compute its degree, universal Gr\"obner basis, and initial ideals  and tell how to read all of this from the matroid. If time permits we will discuss closures of linear spaces inside more general products of projective spaces.
