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This lecture is the second part of a mini-course exploring the solvability of Schramm-Loewner Evolution (SLE) through its connection to Liouville Quantum Gravity (LQG). Delve into the fascinating relationship between SLE—a random planar curve that emerges as the scaling limit of interfaces in critical statistical physics models like percolation and the Ising model—and its description of interfaces in conformal welding of LQG surfaces. Throughout this 58-minute presentation from the Hausdorff Center for Mathematics, examine the intricate connections between SLE, LQG, and conformal field theory (CFT). Learn how exact identities link SLE to CFTs with central charge c < 1, and discover how a three-point correlation function of SLE corresponds with the imaginary DOZZ formula from CFT.
