Open Collections

Description

To any vertex algebra, one can attach in a canonical way a certain Poisson variety, called the associated variety. When the associated variety has only finitely many symplectic leaves, the vertex algebra is called quasi-lisse. In this talk, I will give various examples of quasi-lisse vertex algebras. Using the notion of chiral symplectic leaves, one can show that any quasi-lisse vertex algebras is a quantization of the arc space of its associated variety. If time allows, I will also give an application to the arc space of Slodowy slices and $W$-algebras.