Description
Title: Lines in the plane
Abstract: I will discuss intersection theory on the moduli space of lines in the plane — the 2-dimensional generalization of stable pointed rational curves. I will present a few different paths to compact moduli spaces of these objects, touching on work of many others, including KSBA, Kapranov, Lafforgue, and Kennedy-Hunt. One path leads to a space with a virtual fundamental class, a beautiful stratification coming from matroid theory, and a good notion of tautological classes. I’ll explain how tautological integrals on these spaces can be recursively determined by certain “virtually rigid” evaluations, and a strategy to compute the virtually rigid ones. Based on work with Abramovich and Pandharipande.