In the Exposure pane, the Highlight and Shadow controls for High Dynamic Range have been souped up, meaning that Capture One can now take you into the unreal territory of HDR-look images, if that's where you want to go. Because it's working from 14 or 16 bit RAW files there is generally enough play here to do almost anything you want. However, you may be better off using layers with gradient masks, as the HDR controls affect the entire image. Additionally, there are now clarity and vignetting controls available.
Lens Correction Pane
The lens correction pane now offers specific lens profiles. There are only 19 in the Nikon stable right now, but they include most of the lenses I own, including the 85 f1.8 (as well as the f1.4) which DxO has stubbornly refused to acknowledge.
If the HDR controls are not enough for you, you can create an LCC profile from the image and then partially enable it. This is quite a useful trick as it gives enormous amounts of contrast control. One of the programmers demonstrated this to me with version 6, and I've used it a few times since. The improved HDR controls and the gradient masks make this largely redundant, but it's a good feature.
If you have a lens with movements, then you can control this in the movements section.