W-algebras and Lax Operators - Lecture 1

Explore the intricate world of W-algebras and Lax operators in this 56-minute lecture by Daniele Valeri, part of the Workshop on Quantum symmetries at the Centre de recherches mathématiques. Begin with a comprehensive review of finite W-algebras and twisted Yangians. Delve into the construction of Lax type operators for finite W-algebras, understanding their crucial role in the field. Examine the application of Lax type operator theory to investigate the complex relationship between twisted Yangians and finite W-algebras. Gain insights from relevant research papers, including arXiv:1605.02898 and arXiv:1707.03669. Enhance your understanding of quantum symmetries, tensor categories, topological quantum field theories, and vertex algebras through this advanced mathematical exploration.