====== Laura Anderson (Binghamton) ====== ====== The Extension Space Conjecture for Oriented Matroids ====== ===== Abstract for the Combinatorics and Geometry and Topology Seminars 2011 February 8 ===== The Extension Space Conjecture is perhaps the most succinct manifestation of the great meta-question of oriented matroid theory: "How well do oriented matroids model real vector arrangements"? I'll give an overview of the problem and the limited progress that's been made. ----