What color should I use for the ceilings and walls of a photography studio? How might this differ from a studio used for video?
Neutral, usually black or white depending your needs.
Assuming that your backdrop will be separate (paper roll).
White: Walls can be used as reflectors. But, can be difficult to control stray reflections when you don't want them. Bright and cheerful for your subjects.
Black: Allows more control of light. Reflectors, if you need them, will need to be separate. Room may appear creepy to subjects.