Have you tried taking different companions with you?
Have you tried with a different character? (Helps to figure out if it's your character or game that's having the problem).
Dxdiag might help, too.
I'm not getting an option to chose my team. Was I supposed to climb back down and go talk to someone first? I just clicked on the eluvian and it shows my inquisitor walking into it then it just goes into the infinite loading screen. Here is my dxdiag though.
Well, there goes my bugged follower theory. 😛 You should be taken to the follower selection screen as soon as you go through the eluvian, you don't need to climb back down (though do explore the room, there are a couple of crooked paintings that give you strength).
Some people have reported issues (not this issue, but you never know) with recent Nvidia drivers. Perhaps you could try rolling them back? ( http://answers.ea.com/t5/Dragon-Age-Inquisition/Screen-flickering-in-Dragon-Age-Inquisition/m-p/4856360#U4856360 is an example of someone who had the issue).
That's about all I can think of at the moment.
I rolled back my driver like you suggested, still getting the infinite loading screen ... wow, this is really starting to suck ... I tried getting in touch with EA support but even though the thing said the wait time was like 5 min I was sitting here for an hour and a half without getting anyone (groan)
