Elysium is due to finish filming in Vancouver on Tuesday, if the production is on schedule. An article on Matt's time in Vancouver, including possible details about the plot of the film, is at Vancouver is Awesome.
Diego Luna talked about Elysium in an article at El Universal. Luna appears to state that the film is about half done, and that filming will be in Mexico in mid-October.
The photo of Matt and Emily Blunt in the taxi was taken by photographer Sam Jones as part of a series of promotional shots for The Adjustment Bureau. Some more photos from the series are at his website. Matt's done numerous photoshoots with Jones previously.