Partition arrangements and Springer fibersAlgebra & Discrete Mathematics
|Speaker:||Alexander Woo, UC-Davis|
|Start time:||Fri, Oct 20 2006, 12:10PM|
We calculate defining ideals for certain S_n invariant subspace arrangements of the braid arrangement and relate them (in part using duality) to the cohomology rings of Springer fibers. This allows us to calculate the graded S_n characters of the defining ideals to be particular sums of Hall-Littlewood polynomials.
This is joint work with Mark Haiman.