Explore K-tilings of the Aztec diamond in this 40-minute lecture by David Keating, presented at the Workshop on Integrable systems, exactly solvable models and algebras. Delve into the mathematical intricacies of this fascinating topic, which was part of the September-October 2022 workshop series hosted by the Centre de recherches mathématiques (CRM). Gain insights into the properties and applications of K-tilings within the context of integrable systems and exactly solvable models. This talk, delivered on October 5th, offers a unique opportunity to expand your understanding of advanced mathematical concepts related to the Aztec diamond and its tiling properties.