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Dive into the world of exactly solvable two-dimensional conformal field theories in this comprehensive lecture, the first of a six-part series. Explore fundamental concepts and advanced techniques as S. Ribault guides you through the intricacies of 2D CFT. Learn about the mathematical foundations, key principles, and practical applications of these theories in theoretical physics. Gain valuable insights into the latest developments in the field and enhance your understanding of conformal symmetry, critical phenomena, and related topics. Engage with complex mathematical formulations and theoretical frameworks presented by an expert in the field over the course of two and a half hours.