Date/Time Date(s) - 24/03/202610:30 am - 11:30 am
Speaker: Javier Gonzalez Anaya (Santa Clara University)
Location: Zoom https://mcmaster.zoom.us/j/92663322108 Meeting ID: 926 6332 2108
Title: Polymatroids as toric compactifications of point configuration spaces
Abstract: We will discuss two novel moduli spaces of labeled points in flags of affine spaces. The first space parametrizes distinct weighted points up to translation and scaling. This construction provides a simultaneous generalization of the Hassett moduli spaces of weighted stable rational curves, as well as the Chen-Gibney-Krashen moduli space of point configurations in affine space modulo translation and scaling. The second moduli space allows points to collide freely, without any notion of equivalence between configurations. We will see that the first admits a toric compactification coinciding with the polypermutohedral variety of Crowley-Huh-Larson-Simpson-Wang, while the second is already toric and coincides with the polystellahedral variety of Eur-Larson. This is joint work with P. Gallardo and J.L. Gonzalez.