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Partial resolutions of the nilpotent cone and the Delta Conjecture

Algebraic Geometry

Speaker: Sean Griffin, UC Davis
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Location: 2112 MSB
Start time: 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.