An aerie is the nest of a large bird of prey somewhere high up, such as the branch of a tree or a clifftop.
Don't confuse aerie with airy, meaning spacious and well ventilated (though it's a safe bet that given their location most aeries are exactly that). The word also has the meaning of a human residence that's perched high up — particularly an artist's garret, for example, in the eaves of a building.