Nasrin Altafi Razlighi: Lefschetz properties and minimal free resolutions of artinian algebras

Abstract: We will talk about the weak and strong Lefschetz  properties of artinian monomial ideals in \(S=\mathbb{K}[x_1,\dots ,x_n]\) where their minimal free resolutions are linear for at least $n-2$ steps. I will give an affirmative answer to a conjecture of Eisenbud, Huneke and Ulrich for artinian monomial ideals with almost linear resolutions.