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This lecture is the third part of a mini-course exploring the solvability of Schramm-Loewner Evolution (SLE) through its connections with Liouville Quantum Gravity (LQG). Delve into the fascinating relationship between SLE, LQG, and conformal field theory (CFT) over the course of 63 minutes. Learn how SLE emerges as the scaling limit of interfaces in critical statistical physics models like percolation and the Ising model, while also serving as the interface in conformal welding of LQG surfaces. Examine exact identities connecting SLE to CFTs with central charge c < 1, and discover how a three-point correlation function of SLE corresponds to the imaginary DOZZ formula from CFT. Presented by Morris Ang at the Hausdorff Center for Mathematics, this advanced mathematical exploration offers valuable insights into the intersection of these complex theoretical frameworks.
