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.

 

18.10.2021, 14:54