Where did they film in Glasgow? As the back drop was the Squinty Bridge and the Finnieston Crane...
Probably a small part of Glasgow called London. The room seemed to be the same for most of the auditions.
Notice the theme tune being used in the sponsorship bumpers - not too keen on that myself unless the sponsorship flows into the titles.
I know it's the same set but different auditions have different entrance doors.
I'd suggest STV's Headquarters at Pacific Quay as you can see the SECC/Clyde Auditorium in the background of the audition room. I might be wrong though.
EDIT: Ignore my suggestion, according to everyone's favourite factual website, wikipedia, the Glasgow judges auditions took place in the Hilton Glasgow Grosvenor Hotel