Michael Dobbins, Binghamton University
Title: Grassmannians and Pseudosphere Arrangements in Rank 3
Time: 2:30 PM, Monday, March 9, 2020
Place: Malott 206
Abstract: I will present a metric space of pseudosphere arrangements, as in the topological representation theorem, where each pseudosphere is assigned a weight. This extends spaces of vector configurations to spaces with nicer combinatorial and topological properties. In rank 3 these spaces, modulo O(3), are homotopy equivalent to the corresponding Grassmannians, and the subspaces representing a fixed oriented matroid are contractible.
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