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Explore a 39-minute lecture from the 4th Kyoto University-Inamori Foundation Joint Kyoto Prize Symposium featuring Stanford University Professor Shanhui Fan discussing the convergence of nanophotonics and topological science, specifically focusing on artificial gauge potentials for light. Learn about topology, a mathematical field studying general properties of geometric objects that can continuously change in size and shape, and its application in understanding fundamental properties of material states. Discover how the concept of robustness in topology relates to physical quantities and their resistance to system fluctuations. Examine the revolutionary impact of topological concepts on understanding many-body electron systems in condensed matter physics. Gain insights into the novel fusion of photonics and topology, where modulated photonic systems create artificial gauge potentials and effective magnetic fields that break time-reversal symmetry for light, potentially leading to highly versatile on-chip photonic circuits with enhanced reconfigurability and robustness for information processing.