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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. Examine the description of non-invertible symmetries through topological domain walls, investigate variants of string-net models, and learn construction methods for correlators in two-dimensional conformal field theories. Master categorical 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 course webpage, and benefit from the expertise of a leading researcher whose work focuses on the mathematical structures underlying low-dimensional quantum field theories.
