Date/Time
Date(s) - 07/04/2026
10:30 am - 11:30 am

Speaker: Emanuela Marangone (University of Manitoba)

Location: Hamilton Hall, Room 312

Title: Lefschetz Properties for Monomial Complete Intersections in Positive Characteristic

Abstract: A famous result of Stanley shows that every Artinian monomial complete intersection (CI) over a field of characteristic zero has the Strong Lefschetz Property (SLP). In positive characteristic, however, this result no longer holds. While Lundqvist-Nicklasson gives a complete characterization of monomial CIs with the SLP, the Weak Lefschetz Property (WLP) is still open. In this talk, I will provide a complete classification of monomial CIs with the WLP in characteristic 2, and discuss some current work to extend this classification to arbitrary p. This talk is based on joint work with C. Raicu, A. Kyomuhangi, and E. Reed.