Thursday, January 16, 2025 4pm to 5pm
About this Event
Paolo Aluffi, Florida State
Title: Segre classes and Lorentzian/covolume polynomials
Abstract. Lorentzian polynomials provide a natural generalization of log-concave sequences and have had striking applications to deep conjectures in combinatorics, in work of June Huh and others. We will define a class of closely related polynomials, `covolume polynomials’, and explore situations in intersection theory in which they occur naturally, specifically, their appearance in the context of Segre classes of subschemes of products of projective spaces. We will also describe an application of these considerations to the combinatorics of convex polyhedral cones.