Newly earned badges are automatically added to a private user badge collection which can be managed on the "Badges" tab from the Backpack viewing menu. On the "Badges" page users can view all earned badges and their details, upload badges, and create groups of related badges which will then be displayed on the "Collections" tab. Collections can then be shared publicly through websites, blogs and social media sites.
See How do I share the badges I've earned? for details on sharing badge collections from your Backpack.