Use the Lightning Digital AV Adapter with your iPad with Retina display, iPad mini, iPhone 5, and iPod touch (5th generation) with Lightning connector. The Lightning Digital AV Adapter supports mirroring of what is displayed on your device screen — including apps, presentations, websites, slideshows, and more — to your HDMI-equipped TV, display, projector, or other compatible display in up to 1080p HD.
It also outputs video content — movies, TV shows, captured video — to your big screen in up to 1080p HD. Simply attach the Lightning Digital AV Adapter to the Lightning connector on your device and then to your TV or projector via an HDMI cable (sold separately).
Note: Check Apple's website for the maximum output capabilites for your device (720p, 1080p, etc).