A toric arrangement is given by a family A of level sets of characters of a complex torus T.
The study of these objects is a fairly recent topic at the crossroads of combinatorics, topology and algebra.


The focus of this talk will be on the topology of the complement M:=T \ A, and in particular
on the extent to which it is determined by the combinatorial data of the arrangement A.


After an introduction to toric arrangements and a review of known results, I will present
some recent joint work with Giacomo d'Antonio, focusing on the fundamental group of M
and on the proof that M is a minimal space (and thus homologically torsion-free).