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Explore categorical tools essential for understanding low-dimensional quantum field theories in this comprehensive lecture delivered by Professor Jürgen Fuchs from Karlstad University. Delve into mathematical structures crucial for studying two-dimensional conformal field theories and topological field theories, with applications extending to exotic phases of matter. Learn about non-invertible symmetries through topological domain walls, examine variants of string-net models, and discover construction methods for correlators in two-dimensional conformal field theories. Master fundamental concepts that bridge mathematics and theoretical physics, requiring only basic familiarity with algebra, representation theory, and elementary topology, though prior exposure to quantum mechanics and quantum field theory enhances appreciation of the applications. Access detailed lecture notes and supplementary materials through the provided BIMSA resources, and follow the complete 11-lecture series to build comprehensive understanding of these advanced mathematical tools in quantum field theory.
