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Explore advanced categorical tools essential for understanding low-dimensional quantum field theories in this comprehensive lecture delivered by Professor Jürgen Fuchs from Karlstad University. Delve into sophisticated mathematical frameworks that underpin two-dimensional conformal field theories and topological field theories, with direct applications to exotic phases of matter. Master the categorical description of non-invertible symmetries through topological domain walls, examine variants of string-net models, and learn construction techniques for correlators in two-dimensional conformal field theories. Build upon foundational knowledge in algebra, representation theory, and elementary topology while gaining exposure to quantum mechanics and quantum field theory concepts that enhance appreciation of the applications. Access detailed lecture notes and supplementary materials through the provided BIMSA resources, and follow the complete 11-lecture series through the accompanying playlist to develop a thorough understanding of these cutting-edge mathematical tools in theoretical physics.
