Connected Sums of Artinian Gorenstein Algebras and the Lefschetz Properties

Explore the intricate world of connected sums of Artinian Gorenstein Algebras and their relationship to Lefschetz Properties in this 39-minute lecture by Alexandra Seceleanu from the University of Nebraska-Lincoln. Delivered on May 15, 2023, as part of the Workshop on Lefschetz Properties in Algebra, Geometry, Topology and Combinatorics at the Fields Institute, delve into the complex interplay between algebraic structures and geometric properties. Gain insights into the latest research and developments in this specialized field of mathematics, and discover how these concepts contribute to our understanding of algebraic and geometric systems.