In my youth I did some work to help insulate an office building. The ground floor was a drive-in carpark, with offices above that.
We "drywalled" the ceiling by fitted large panels of polystychrene about 60mm thick. They were secured under the concrete with plastic "nails" that had large heads to spread the load.
The hardest part was drilling upward into concrete overhead, followed by sealing every gap with a manual cartridge gun. I don't recall the product used.
This was a carpark so looks weren't important. The white material did make it noticeably brighter, but over time car exhaust darkened it all. Sadly there are no photos.
In your case, another option is a drop-ceiling with fibreglass batts on top.
You'll also need to insulate the floor above too, with some kind of thermal barrier. This could be a good time to spread that space-blanket thermal reflector out of sight too.
Sadly most "concrete factories" are not made for sedendary activities. Workers would have been moving and keeping warm that way. You have a big task ahead of you, good luck !