Explore vertex operator algebras derived from quantum field theories in two, three, four, and six dimensions in this advanced mathematics lecture. Delve into the connections between these algebras and other mathematical branches as part of the Workshop on Quantum symmetries: Tensor Categories, Topological quantum field theories, and Vertex algebras. Gain insights into the intricate relationships between higher-dimensional quantum field theories and vertex operator algebras, expanding your understanding of this complex mathematical topic.