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Partition arrangements and Springer fibers

Algebra & Discrete Mathematics

Speaker: Alexander Woo, UC-Davis
Location: 1147 MSB
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.