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Explore the algebraic foundations of low-dimensional topology in this comprehensive lecture by Anna Beliakova. Delve into the classification of Topological Quantum Field Theories (TQFTs) in dimensions 2, 3, and 4, focusing on the algebraic presentation of cobordism categories. Examine the concept of n-modular Hopf algebras and their role in describing modified cobordism categories. Learn about the classification of TQFT functors on 4-dimensional 2-handlebodies and the potential of non-semisimple, non-factorizable unimodular ribbon categories in detecting 4-dimensional phenomena. Gain insights into the collaborative work with Marco De Renzi and the contributions of Bobtcheva and Piergallini in this 57-minute presentation from the Workshop on Quantum Symmetries at the Centre de recherches mathématiques.
