Explore the fourth lecture in a minicourse on CAT(0) cube complexes, delivered by Nir Lazarovich as part of the Workshop on Cube Complexes and Combinatorial Geometry. Delve into advanced concepts of geometric group theory and topology during this 58-minute presentation hosted by the Centre de recherches mathématiques (CRM). Gain insights into the intricate properties and applications of CAT(0) cube complexes, building upon the foundations established in previous sessions. Enhance your understanding of this crucial topic in modern mathematics, which bridges combinatorial, geometric, and algebraic aspects of group theory.