These bring some questions to mind.
1) Are they concerts around a tiny desk? Or tiny concerts around a desk?
2) Where is the desk anyway?
http://www.npr.org/series/tiny-desk-concerts/
NPR = National Public Radio. A US non-profit radio station with rich musical content. Lots of radio broadcasts of live gigs (often downloadable), in-studo performances and their "All Songs Considered" show. It's worth clicking on a few links and drop downs because there is quite a lot of musical content available here - much of it unique to the station.
I skipped the obvious (for me) attraction and watched the Abigail Washburn segment whilst having breakfast this morning. Very interesting indeed.