Previous work constructed an analogue of the Springer resolution for the universal cover of the principal nilpotent orbit. In joint work with Precup and Russell, we showed that in type A this generalized Springer resolution is closely connected with Lusztig’s generalized Springer correspondence. In this talk we discuss the geometry of the fibres of the generalized Springer resolution, and in particular, show that the fibres have an analogue of an affine paving.
This result is joint work with Precup and Russell.
This is the first part of two talks, the second of which may be found here.
This video is part of the University of Georgia‘s Algebra seminar.
