Date/Time
Date(s) - 24/03/2026
10:30 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.