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k-parabolic subspace arrangements and discrete morse theory

Algebra & Discrete Mathematics

Speaker: Jacob White, MSRI
Location: 1147 MSB
Start time: Fri, Feb 25 2011, 2:10PM

We introduce k-parabolic arrangements, which are a class of subspace arrangements coming from finite reflection groups. We give an interpretation of the Betti numbers of the complements of these arrangements in terms of counting certain cosets. The results involve discrete Morse theory, shellability, and studying simplicial complexes coming from graph theory. This is joint work with Chrisopher Severs and Hélène Barcelo.