Speaker: Nils Amend (Bochum)
Title: Restrictions of Reflection Arrangements and the \(K(\pi, 1)\) Property
Abstract:
Suppose that \(G\) is a finite unitary reflection group acting on the complex vector space \(V\) and let \(A = A(G)\) be the associated reflection arrangement. It has been a long standing conjecture that in this case the complement of \(A\) in \(V\) is a \(K(\pi, 1)\) space, with the last six open cases being settled by Bessis in 2006. We will have a look at the situation for restrictions of reflection arrangements to elements of their intersection lattice. In particular, we will focus on the restrictions of the infinite family \(A(G(r, p, l))\).