Piaggio or Peugeot?

The French president is having some personal issues right now. Namely, he has two girlfriends. Here he is coming out of his second girlfriend's apartment. That three-wheeled scooter is waiting for him. The media has been identifying the scooter as a Peugeot or a Piaggio, and neither company wants to be associated with the scandal. So, European scooter fans, what is that thing?

Also, is this picture the Frenchest scene you have ever seen?