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Explore advanced concepts in topological symmetries and defects in quantum field theory through this fourth installment of a comprehensive lecture series delivered by Professor A. Cattaneo from the University of Zurich as part of the 2025 SCGCS School on Topological Symmetries and Defects in Quantum Field Theory. Delve into sophisticated mathematical frameworks and theoretical foundations that govern topological structures in quantum field theory, building upon previous lectures to examine the intricate relationships between symmetries and defects in topological quantum systems. Gain insights into cutting-edge research methodologies and theoretical approaches used to analyze and understand the behavior of topological defects within various quantum field theoretical contexts. Develop a deeper understanding of how topological symmetries manifest in different physical systems and their implications for modern theoretical physics, while exploring the mathematical tools and techniques essential for working with these complex topological structures in quantum field theory applications.
