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Explore categorical tools essential for understanding low-dimensional quantum field theories in this third lecture of an 11-part series by theoretical physics professor Jürgen Fuchs from Karlstad University. Delve into mathematical structures relevant to two-dimensional conformal field theories and topological field theories, with applications to exotic phases of matter, non-invertible symmetries through topological domain walls, string-net model variants, and correlator constructions in conformal field theories. Access detailed lecture notes and prerequisite information covering basic algebra, representation theory, and elementary topology, with optional background in quantum mechanics and quantum field theory for enhanced appreciation of applications. Follow along with the comprehensive course materials available through BIMSA's dedicated webpage and reference documents, designed for audiences from diverse mathematics and theoretical physics backgrounds.
