Maximal number of regions for Schubert hyperplane arrangements in Gr_R(k,n)
Determine the maximal number of regions in the complement of an arrangement of d Schubert hyperplanes in the real Grassmannian Gr_R(k,n).
References
What is the maximal number of regions in the complement of an arrangement of $d$ Schubert hyperplanes in the real Grassmannian ${\rm Gr}_\mathbb{R}(k,n)$?
— What is Positive Geometry?
(Ranestad et al., 18 Feb 2025) in Section “Open questions”: Problem [Mazzucchelli]