Explore the intricate connection between combinatorial maps and correlation functions in loop models through this comprehensive lecture. Delve into the mathematical foundations and theoretical frameworks that underpin these complex systems. Gain insights into the latest research and methodologies used to analyze and interpret loop models, with a focus on their applications in statistical physics and quantum field theory. Discover how combinatorial maps serve as powerful tools for understanding the behavior of correlation functions, and learn about the cutting-edge techniques employed to derive meaningful results from these models. Suitable for advanced students and researchers in theoretical physics and mathematics, this in-depth presentation offers a rigorous examination of the subject matter, providing valuable knowledge for those seeking to expand their understanding of loop models and their mathematical representations.