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Explore the intricacies of Liouville Theory in this comprehensive 2-hour lecture delivered by J. Teschner from DESY. Delve into the world of conformal field theory through three distinct approaches: integrable, probabilistic, and supersymmetric. Gain valuable insights into this fundamental concept in theoretical physics and mathematics, as presented by a renowned expert in the field. Ideal for advanced physics students and researchers looking to deepen their understanding of conformal field theory and its applications in various branches of mathematical physics.