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Explore a mathematical theory of gapped and gapless boundaries in 2+1 dimensional topological orders through this seminar lecture delivered by Professor Liang Kong from the International Quantum Academy at the Isaac Newton Institute. Delve into the theoretical framework that describes how topological phases of matter can interface with different types of boundaries, examining both energy-gapped and gapless boundary conditions. Learn about the mathematical structures underlying these boundary phenomena and their implications for understanding topological quantum states. Discover how this theory contributes to the broader field of quantum field theory with boundaries, impurities, and defects, providing insights into the behavior of quantum systems at interfaces and edges.
