I didn't realize this was a Trahan project. They do awesome work, but it's a bit odd to see them working in Chicago - they're based in Baton Rouge. They're sorta split between a stadiums side where they do some fairly average university-athletic stuff and then a boutique architecture side where they do this awesome avant-garde stuff. As far as I know, it's the same people doing both kinds of projects.
This is another project of theirs with similar rippled cladding. As you can see, there's a double-wall system with traditional glass on the inside. I'm guessing the rippled material is ETFE, with negative air pressure inside the cavity so the surface is concave. You can tint the ETFE, screen-print a frit onto it, and then you can overlay that on top of whatever treatments are done to the glass behind.
