In 2016 Bershtein, Feigin and Litvinov introduced the Urod algebra, which gives a representation-theoretic interpretation of the celebrated Nakajima-Yoshioka blowup equations in the case that the sheaves are of rank two. In this talk we will introduce higher-rank Urod algebras. This is done by constructing translation functors for affine W-algebras.

This is joint work with Thomas Creutzig and Boris Feigin.

This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.