Representation Theory for Finite W-algebras

Explore a detailed mathematics seminar that delves into the representation theory of finite W-algebras and their relationship to Lie algebras through Whittaker reduction. Learn about both algebraic and geometric constructions of the localization functor, examining its key properties including exactness and monoidality. Discover the concepts of Harish-Chandra bimodules and Category O for W-algebras, drawing from the scholarly work of Ginzburg and Losev. The 93-minute presentation provides a thorough examination of these advanced mathematical concepts, making it valuable for researchers and advanced students in representation theory and related fields.