Campana points on toric varieties

We call Campana points an arithmetic notion of points on Campana's orbifolds that has been first studied by Campana and Abramovich, and that interpolates between the notions of rational and integral points. This talk will introduce Campana points on toric varieties, present geometric heuristic arguments in support of their conjectured distribution and the currently known asymptotic results. This is joint work with Damaris Schindler.