Thanks for all the replies. I'm going to suggest to management that they have someone take a look at it. They've got a landscaping service that takes care of all the grass and shrubbery and such, so maybe they can tell if it's sick.
There's a large poplar at my apt. complex that is shedding dry, dead leaves. All the other trees are full green (mid-May in central Virginia). My questions: Does this mean the poplar might be dying?
I ask because the tree is about 25 feet from an apt. building and leaning slightly toward it...