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Explore finite-temperature quantum topological order in three-dimensional systems through this 46-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into the theoretical foundations and implications of topological order at non-zero temperatures, examining how thermal fluctuations affect quantum many-body systems with topological properties. Learn about the stability and phase transitions of three-dimensional topological phases when subjected to thermal effects, and understand the interplay between temperature and quantum entanglement in these exotic states of matter. Discover cutting-edge research on how topological protection mechanisms evolve with temperature and gain insights into the fundamental physics governing quantum phases in realistic thermal environments. This presentation forms part of a comprehensive program on generalized symmetries and anomalies in quantum phases of matter, connecting topological order to broader themes in modern condensed matter physics including higher-form symmetries, anomalies, and quantum entanglement.
