Parabolic induction for Springer fibers of type C
Presenter
December 8, 2025
Abstract
Nilpotent orbits are important objects in geometric representation theory since they appear in Springer’s construction of Weyl group representations, associated varieties of primitive ideals of enveloping algebras, conical symplectic singularities, and modular representation theory of Lie algebras, to name a few. The theory of Lusztig-Spaltenstein induction is a geometric process for constructing nilpotent orbits in the Lie algebra of a reductive group from the nilpotent orbits in Levi subalgebras. I will discuss some progress made involving the parabolic induction for Springer fibers of type C. This is joint with Neil Saunders and Arik Wilbert.