Introduction to Vertex Algebras - From Heisenberg to Virasoro Algebras

Explore fundamental concepts of vertex algebras in this mathematics seminar recording where Daniil Klyuev delves into their basic properties and applications in constructing affine W-algebras. Learn about key vertex algebra types including Heisenberg, Kac-Moody, and Virasoro, while discovering the Zhu algebra construction that bridges finite and affine W-algebras. Gain insights into this advanced mathematical topic through a detailed presentation that spans nearly two hours, offering a thorough introduction to these important algebraic structures.