How? After Effects only supports planar 3D. The speakers are clearly animated and rendered in a 3D suite. If you can do this in AE, you're the top artist out there.
The "flat" elements suspended in midair could be done with After Effects and boujou, however.
I think you'd need Maya, Cinema 4D, XSI, Studio Max, (Blender?) or the like, as well as Boujou or pftrack or something to produce the effects done in this video. It looks pretty difficult; based on work we've farmed out the effects budget probably ran between $20,000 and $100,0000.
If I were you, I would do the effects you know how to do yourself and then put out bids on this one. If you do choose to do it yourself and have access to the software, I'd start with Boujou, your 3D suite of choice, and your compositing software of choice. I might just farm this one effect out, you could probably find a hungry freelance artist looking to make an impressive reel who'd do it cheap. Unless you are that freelance artist in which case, best of luck!