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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.