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Explore the fourth lecture in a series on Affine W-algebras, delivered by Jethro Van Ekeren at the Centre de recherches mathématiques (CRM) workshop on Quantum symmetries. Delve into the construction of Affine W-algebras through quantum Hamiltonian reduction and examine their fundamental theory. Gain insights into vertex algebras, Virasoro minimal models, and their generalizations obtained from Hamiltonian reduction of admissible modules of affine Lie algebras. Discover the latest findings from joint research with T. Arakawa on tensor categories of W-algebra representations. This advanced mathematical lecture, part of a broader workshop on tensor categories, topological quantum field theories, and vertex algebras, offers a comprehensive exploration of these complex algebraic structures for researchers and advanced students in the field.
