How do I get the pillars to rotate in Geirmund's Hall?
The sad / obvious fix to a non-rotating pillar will be to reload a previous save. You aren't alone in experiencing this glitch.
(There are some spoilers in that thread but are hid nicely as Spoilers)
From the UESP wiki's "Skyrim Puzzle Totems - Bugs" article:
A common bug is that the ... the door may not open after the correct combination is set. Possible fixes are:
- Save and then immediately load that save.
- Load either the auto-save from the entrance, or a save from before you entered.
- Exit the location, save, and load that save.
- "Reset" the door by selecting the right combination... Do this until the correct combination re-appears and try again.
- (On Xbox 360) Clear the hard drive cache.