Date/Time
Date(s) - 31/03/2026
10:30 am - 11:30 am

Speaker: Sara Asensio Ferrero (Universidad de Valladolid)

Location: Hamilton Hall, Room 312

Title: On the special shape of some Betti diagrams of edge ideals

Abstract: In 1990, R. H. Villarreal was the first to define edge ideals associated to graphs. In the same year, R. Fröberg characterized edge ideals with regularity 2, and since then, many authors have tried to generalize his results. In this talk, I will present a family of edge ideals with arbitrarily large regularity and projective dimension simultaneously, whose Betti diagrams have a special shape and which have emerged while working on the problem of characterizing edge ideals with regularity 4 (the first case that is still unknown). In particular, I will pay special attention to the combination of combinatorial and homological tools that has played an important role in this story. This talk is based on joint work with Ignacio García-Marco and Philippe Gimenez.