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Explore the mathematical foundations of gapped and gapless boundaries in 2+1 dimensional topological orders through this seminar presented by Professor Liang Kong from the International Quantum Academy. Delve into the theoretical framework that describes how topological phases of matter can terminate at boundaries, examining both scenarios where energy gaps persist (gapped boundaries) and where they close (gapless boundaries). Learn about the mathematical structures that govern these boundary phenomena, including the algebraic and categorical tools used to classify and understand different types of topological boundary conditions. Discover how this theory connects to broader concepts in condensed matter physics, quantum field theory, and mathematical physics, providing insights into the behavior of exotic quantum states of matter. Gain understanding of the implications for quantum computing applications and the fundamental principles that govern topological protection in quantum systems.
