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Explore conformal field theoretic methods for solving BPZ equations through this 54-minute mathematical lecture by Tom Alberts from the Hausdorff Center for Mathematics. Delve into Dubédat screening as a technique for addressing systems of partial differential equations that describe multiple chordal SLE (Schramm-Loewner Evolution) curves within simply connected domains. Examine how the solution process introduces a level two non-degenerate vertex exponential into the system and understand the resulting consequences, particularly the loss of martingale observable properties during field evolution under the corresponding SLE flow. Learn about a straightforward correction to the Dubédat screening system that addresses these complications, providing insights into advanced topics in probability theory, conformal field theory, and stochastic processes.
