The Hall of Heroes is a large room immediately in front of you when you enter the museum. It contains displays for many different items. It has two seperate floors. The lower gallery is listed on this page, see Upper Gallery for the displays on the second floor. To the left of the main Hall is the Culture and Arts Exhibit. This hallway has a door to the East Exhibit Halls, the Library, as well as the Curator's Office. There's also a stairway leading to the Upper Gallery and the Armory.
To the right of the main hall are the Reception Hall and Staff Barracks, which provide access to the Museum Storeroom and the Safehouse.
The entrance to the museum directly connects to the main Dragonborn Hall. On the left there is a bench, above that is a spot for a Painting. There is a cabinet with a chest for safe storage. On top of the cabinet is the Donations Box, as well as the Curator's Guide. On the wall is a plaque that shows the current museum display count.
On the right is another spot for a Painting. Below this is the "In Commemoration" display. This activates after you talked to Auryen after the Trial of Trinimac quest. It can be activated to watch the credit scene again.
Behind the fountain is a statue holding a lantern on the left, this is called "Truth". On the right is a statue holding a book, this is called "Wisdom".