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Explore advanced concepts in supersymmetric Yang-Mills theory through this in-depth lecture by Henrik Johansson at the Galileo Galilei Institute. Delve into the intricacies of two-loop N = 1 SYM amplitudes, examining the powerful techniques of supersymmetry decomposition and massive spinor-helicity formalism. Gain insights into cutting-edge research in theoretical physics and quantum field theory as Johansson presents his findings and methodologies. This comprehensive talk, spanning nearly two hours, offers a valuable opportunity for graduate students, researchers, and physicists to expand their understanding of advanced amplitude calculations and their applications in high-energy physics.