Roberto Pagaria
Bologna University, Bologna, Italy

We briefly recall the definition of hyperplane arrangements, toric arrangements and their generalization called abelian arrangements. The cohomology ring of the complement is known from a result by Orlik and Solomon (1980) in the hyperplane case. The toric case is due to De Concini and Procesi (2005) and to Callegaro, D’Adderio, Delucchi, Migliorini, and I (2020). In this talk, we present a new and unified presentation of the cohomology ring of all abelian (non-compact) arrangements. This is a work in progress with Evienia Bazzocchi e Maddalena Pismataro.