Nasrin Altafi: The Weak Lefschetz property and the number of generators of equigenerated monomial ideals

Abstract

Classifying monomial ideals having the Lefschetz properties based on their number of generators has recently received great attention. In this talk, I will go over the previous results while also filling in the gaps to establish sharp bounds on the number of generators of monomial ideals satisfying the weak Lefschetz properties. In addition, I will discuss some conjectures and open problems related to this subject.

I will be reporting on an ongoing joint project with Samuel Lundqvist.