Affine W-algebras - Lecture 3

Explore the intricacies of affine W-algebras in this 54-minute lecture delivered by Jethro Van Ekeren at the Centre de recherches mathématiques (CRM). Delve into the construction of these fascinating vertex algebras through quantum Hamiltonian reduction and gain a comprehensive understanding of their fundamental theory. Begin with a quick introduction to vertex algebras, though prior knowledge in this area is beneficial. Examine Virasoro minimal models and their generalizations, obtained through Hamiltonian reduction of admissible modules of affine Lie algebras. Conclude by discovering the results of collaborative research with T. Arakawa on tensor categories of W-algebra representations. This lecture is part of the Workshop on Quantum symmetries: Tensor Categories, Topological quantum field theories, and Vertex algebras held in October-November 2022.