Pavel Shlykov (Edinburgh)

Title: Quiver varieties in dimension four

Abstract: Nakajima quiver varieties form an important class of examples of conical symplectic singularities. For example, such varieties of dimension 2 are Kleinian singularities. Starting from this, I will describe a combinatorial approach to classifying the next case, affine quiver varieties of dimension 4. If time permits, I will try to say the implications we obtained and how can one compute the number of crepant symplectic resolutions of these varieties. This is a joint project with Samuel Lewis.

Location: UQAM PK-5675