Discrete Geometry and Combinatorics Seminar

Michael DobbinsBinghamton University
Grassmannians and Pseudosphere Arrangements in Rank 3

Monday, March 9, 2020 - 2:30pm
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.