Motivated by recent works joint with Tomoyuki Arakawa and Jethro Van Ekeren on collapsing levels, we conjectured that if W is a finite extension of a vertex subalgebra V, then the natural morphism between the corresponding associated varieties is dominant. In the case where W is a simple W-algebra and V is its simple affine vertex algebra, the conjecture is deeply related with the singularities of nilpotent Słodowy slices. In this talk, I will explain some results toward the conjecture and interesting examples.
This is based on joint works in progress with Arakawa and Van Ekeren.
This video was produced by the International Centre for Mathematical Sciences, as part of the workshop The Geometry of Double Affine Hecke Algebras and Coulomb Branches.
