imageOverall, this is a fairly good, understandable overview, What is radiocarbon dating? in World News Australia:

Other high profile projects include the dating of the Turin Shroud to the medieval period, the dating of the Dead Sea Scrolls to around the time of Christ, and the somewhat controversial dating of the spectacular rock art at Chauvet Cave to c.38,000 calBP (c.32,000 BP) – thousands of years earlier than expected.