Abstract for the talk on 08.06.2021 (10:00 h)Seminar on Nonlinear Algebra
Taylor Brysiewicz (MPI MIS, Leipzig)
Enumerating Chambers in Hyperplane Arrangements with Symmetry
We introduce a new algorithm for enumerating chambers of a hyperplane arrangement which exploits its underlying symmetry group. Our algorithm counts chambers as a byproduct of computing Betti numbers. We showcase our implementation in OSCAR on examples coming from hyperplane arrangements with applications to physics and computer science.