The resonance arrangement
The resonance arrangement is the arrangement of hyperplanes which has all nonzero 0/1-vectors in R^n as normal vectors. It is also called the all-subsets arrangement. Its chambers appear in algebraic geometry, in mathematical physics, and as maximal unbalanced families in economics.
In this talk, I will present a universality result of the resonance arrangement. Subsequently, I will report on partial progress on counting its chambers. Along the way, I will review some basics of the combinatorics of general hyperplane arrangements.
תאריך עדכון אחרון : 10/11/2020