The Hall of Attainment is a living area for the Apprentices at The College of Winterhold in Skyrim. Found on the left side of the courtyard, the hall contains the Dragonborn's chambers when he or she becomes a member of the college.
This place contains two floors, with approximately six rooms per floor. On the top floor there is a room full of food that can be taken by the Dragonborn.
After becoming Arch-Mage, the Dragonborn's official quarters move to the Arch-Mages Quarters. The bed in the Hall of Attainment, however, still recognizes the Dragonborn as owner. The wardrobes still remain static and will hold the Dragonborn's items, the wooden barrels however, will not.