collection

A user's Collection is viewable from My Geek.

Note that your "Collection" does not necessarily mean games you own in real life. It is a virtual collection of games you are interested in due to owning them, playing them, rating them, commenting on them, wanting to be notified of new content, whatever.

To add a game to your collection, see "How Do I Add a Game to My Collection?" in BoardGameGeek FAQ.