William Graham "Pavings of generalized Springer fibers" (part1)
Channel: Schubert Seminar
Date: 03/04/2022

Title: Pavings of generalized Springer fibers

Abstract: The Springer resolution of the nilpotent cone of a semisimple Lie algebra has played an important role in representation theory.  One notable application is the Springer correspondence relating Weyl group representations to local systems on
nilpotent orbits.  The author introduced a generalization of the Springer resolution related
to the universal cover of the regular nilpotent orbit, and in joint work with Martha Precup
and Amber Russell, has shown that in type A, this is closely related to Lusztig's
generalized Springer correspondence.  In this talk we discuss a paving of these
generalized Springer fibers, with an application to computing Poincare polynomials
of these fibers and the related Lusztig sheaves.