Partial VS Inverse quantum hamiltonian reductions

Abstract: W-algebras form a rich family of vertex algebras, arising from simple Lie algebras and their nilpotent orbits through a cohomological procedure known as quantum hamiltonian reduction. As the nilpotent orbit grows, the reduction becomes increasingly intricate, while the representation theory of the corresponding W-algebra is simplified. In this talk, I would like to discuss two additional concepts, the partial and inverse quantum hamiltonian reductions, that help understanding the quantum hamiltonian reduction and clarify how W‑algebras attached to different nilpotent orbits are related.

Mathematics

Audience: researchers in the topic

European Quantum Algebra Lectures (EQuAL)

Series comments: EQuAL is an online seminar series on quantum algebra and related topics such as topological and conformal field theory, operator algebra, representation theory, quantum topology, etc. sites.google.com/view/equalseminar/home