Explore the intricacies of Koszul duality in this advanced mathematics lecture presented by Vladimir Dotsenko from the University of Strasbourg. Delve into the fifth installment of a comprehensive series on this complex algebraic concept, building upon previous discussions to further expand understanding of its applications and theoretical foundations. Gain valuable insights from an expert in the field as you continue to unravel the complexities of Koszul duality and its significance in modern algebraic topology and homological algebra.