Partial resolutions of the nilpotent cone and the Delta ConjectureAlgebraic Geometry
|Sean Griffin, UC Davis
|Wed, Nov 22 2023, 3:10PM
In the 80s, Borho and MacPherson developed a theory of "partial resolutions" of the nilpotent cone and used it to compute the graded S_n characters of the cohomology rings of the Spaltenstein varieties and Steinberg varieties (both of which generalize Springer fibers and are types of Hessenberg varieties). In this talk, I will explain what partial resolutions have to do with the Delta Conjecture from Algebraic Combinatorics, and how they can be used to prove a new Schur expansion for the Delta Conjecture at t=0. Based on joint work with Maria Gillespie.