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Explore a 52-minute lecture from the BIMSA-Tsinghua Quantum Symmetry Seminar where Zhi-Hao Zhang from the University of Science and Technology of China presents novel approaches to characterizing symmetry protected topological (SPT) and symmetry enriched topological (SET) orders across multiple dimensions. Learn how the boundary-bulk relation provides an alternative framework for understanding these orders, recovering established classifications in 1D and offering a 2-categorical perspective on minimal modular extensions in 2D. Delve into precise mathematical conjectures involving higher categories for higher-dimensional cases, and discover a new characterization using enriched categories. Reference the accompanying research paper on arXiv:2205.05565 and access detailed presentation slides available in two parts through provided links. Gain insights from this advanced physics seminar that bridges theoretical frameworks with mathematical categorization methods in topological quantum systems.
