The resonance arrangement
Seminar
Speaker
Lukas Kühne (Max Planck Institute, Leipzig)
Date
15/11/2020 - 15:30 - 14:00Add to Calendar
2020-11-15 14:00:00
2020-11-15 15:30:00
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.
Zoom
אוניברסיטת בר-אילן - המחלקה למתמטיקה
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Zoom
Abstract
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
