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This lecture explores box-ball systems, one-dimensional integrable cellular automata introduced in 1990, as part of Harvard CMSA's program on Classical, quantum, and probabilistic integrable systems. Discover the major developments that have consistently unfolded over decades, enriching the theory's scope. Learn about ultradiscretization, crystal theory in quantum groups, the combinatorial and thermodynamic Bethe ansatz, and generalized hydrodynamics. Presented by Atsuo Kuniba from the University of Tokyo, this is the third lecture in a three-part series scheduled for April 2, 2025.
