Explore a comprehensive lecture on the Bethe Ansatz, a powerful technique in integrable systems, delivered by Fabio Franchini at the International Centre for Theoretical Sciences. Delve into key concepts like spin excitations in integrable vs non-integrable models, prethermalization, beta equations, and particle factorization. Examine the algebraic approach, including the 6-vertex model, and engage with a Q&A session. Gain insights into advanced topics in condensed matter and statistical physics through this 1 hour 26 minute pedagogical presentation, part of a broader program on integrable systems in mathematics and physics.