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Explore the evolution of S-matrix theory at the Institut de Physique Théorique (IPhT) in this 28-minute conference talk by Brando Bellazzini. Delve into the historical significance and contemporary relevance of S-matrix theory, tracing its development from its inception to its current applications in theoretical physics. Gain insights into how this mathematical framework has shaped our understanding of particle interactions and quantum field theory over the years. Discover the contributions of IPhT researchers to this field and learn about the latest advancements and future directions of S-matrix theory in modern physics research.