The themes of the workshop are the Weak Lefschetz Property – WLP – and the Strong Lefschetz Property – SLP. The name of these properties, referring to Artinian algebras, is motivated by the Lefschetz theory for projective manifolds, begun by S. Lefschetz, and well established by the late 1950’s. In fact, Lefschetz properties of Artinian algebras are algebraic generalizations of the Hard Lefschetz property of the cohomology ring of a smooth projective complex variety. The investigation of the Lefschetz properties of Artinian algebras was started in the mid 1980’s. Although there were limited developments on this topic in the 20th century, in the last years this topic has attracted the attention of mathematicians from different areas, such as commutative algebra, algebraic geometry, combinatorics, algebraic topology and representation theory. One of the main features of WLP and SLP is their ubiquity and the quite surprising and still not completely understood relations with other themes: linear configurations, interpolation problems, vector bundle theory, plane partitions, splines, $d$-webs and differential geometry among others.
The purpose of this workshop is to bring together researchers from different areas in order to share different points of view and to make collaborations possible, with the ultimate aim that this will result in new connections and possibly unexpected breakthroughs. 
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