Construction of Finite W-algebras and Slodowy Slice Quantization

Explore advanced mathematical concepts in this seminar lecture where Ivan Losev delves into the construction of finite W-algebras and their relationship to Slodowy slices. Learn about the historical development of Slodowy slices as transverse slices to nilpotent orbits in semisimple Lie algebras, tracing back to Kostant's foundational work. Discover how these mathematical structures function as Poisson varieties and understand two distinct approaches to constructing their Poisson structure. Master the quantization methods of these constructions, leading to the formation of finite W-algebras, through detailed mathematical explanations and theoretical frameworks presented in this 83-minute academic presentation.