Same here, Poparad!! I was like, this has to be an Axe FX!
I have been using the Axe FX for home studio projects since the release of the Ultra and the Standard. Right now, I have an Axe FX II Mark II and I love it. I run it through my Audio Interface and straight out to my monitors.
@Poparad have you checked out the Matrix products?? The GT1000FX 1U SS power amp and the NL12 speaker. I am really tempted of getting them. People say amazing things about them.
I can't really guess what the grey/silver 1U unit is. I don't really see any other pedals in front of him.
If Kurt could give us some insight on the matter, that would be awesome, on how he's using it and whatnot. I have never thought using my Axe FX in a jazz type of context, I mostly use it for metal/rock/ambient type of projects.