Some of you are referring to the sound of the reverse-flowing motor that cools the turbocharger when you shut the car down. It has a high-pitched whine for ~15 seconds.
Starting up tonight leaving work, I noticed something. It might be related to the steering, somehow... when it started to make that "whine" I happened to tap the wheel, ever so slightly, and the noise stopped. Nudging the wheel seemed to discourage the sound.