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Explore fundamental concepts of integrability in condensed matter physics through this 52-minute colloquium lecture by Natan Andrei from Rutgers University. Learn introductory notions underlying integrability including Conserved Charges, Yang-Baxter (Braiding) relations, factorized S-matrices, the Bethe-Ansatz, Quantum inverse scattering, and Thermodynamic Bethe Ansatz. Discover how these mathematical frameworks apply to key Hamiltonians that describe physical systems central to condensed matter understanding, including the quantum spin, the Hubbard model, and the Kondo Hamiltonian. Gain insights into the theoretical foundations that underpin much of modern condensed matter physics through rigorous mathematical approaches to exactly solvable models.
