Semi-infinite Cohomology and BRST Complex in W-algebras

Explore the construction of affine W-algebras through a nearly two-hour mathematical seminar that delves into the theory of semi-infinite cohomology and its adaptation to the Tate Lie algebra setting. Learn how vertex algebra structure is defined using the BRST resolution, and discover the connection to finite W-algebras through Zhu's algebra. Master fundamental concepts in mathematical physics and algebraic structures as the lecture bridges theoretical frameworks in Lie algebra cohomology and its advanced applications.