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Explore the advanced concepts of non-invertible symmetries and dualities in this second lecture from a comprehensive series delivered at ICTP-SAIFR's Program on Anomalies, Topology and Quantum Information in Field Theory and Condensed Matter Physics. Delve into the fundamental principles and mathematical frameworks that govern non-invertible symmetries, building upon foundational knowledge to understand their role in modern theoretical physics. Examine how these symmetries manifest in various physical systems and their connections to dualities in field theory and condensed matter physics. Learn from expert instruction that bridges abstract mathematical concepts with concrete applications in quantum field theory and condensed matter systems. Gain insights into the cutting-edge research developments in this rapidly evolving area of theoretical physics, with particular emphasis on how non-invertible symmetries provide new perspectives on quantum information and topological phenomena.
