Title: On the Strong Lefschetz Property
Speaker: Zhenjian Wang（Hefei National Laboratory）
Time: 03.02 (Monday), 10:00-11:00
Venue: Gewu Building 315
Abstract: The Strong Lefschetz Property (SLP) is a notion concerning polynomials that is simple to state yet often difficult to verify. In this talk ,I will survey several key aspects of SLP. I will begin by reviewing the Hard Lefschetz Theorem for cohomology groups of compact Kaehler manifolds, which provides the original geometric intuition for SLP. Next, I will turn to zero-dimensional complete intersection algebras and their Hilbert–Poincaré series, and introduce SLP in this context. I will then present and prove several important results on SLP. Finally, I will discuss some applications that demonstrate the utility of this property.
