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Explore the mathematical foundations of Liouville Conformal Field Theory and conformal blocks in this comprehensive 3-hour lecture delivered by Rémi Rhodes from Aix-Marseille University and Guillaume Baverez from Peking University. Delve into the intricate connections between topological recursion, conformal field theory, and random geometry as part of the NCCR SwissMAP conference series. Master the theoretical framework of Liouville CFT, understand the construction and properties of conformal blocks, and discover how these concepts intersect with modern developments in mathematical physics and probability theory. Gain insights into the probabilistic interpretation of Liouville theory and its applications to random geometry, while examining the role of conformal blocks in understanding correlation functions and operator product expansions within the context of two-dimensional conformal field theories.
