Here are some videos showing Microsoft’s miracast adapter for displaying the content on your device wirelessly to another screen. Just connect the adapter via USB and HDMI.
I don’t know why they needed a different video for each device. Except I don’t see one with a Windows Phone. They do however have a screenshot of it in their blogpost. Their smartphone one contains a non WP Samsung (i.e. Android). I watched them over and over and I can’t seem to see one.
It’s 59.95 USD for this adapter.
It’s smaller, and less glitzy than the Nokia HD-10 (though for that NFC tagging and quick connection you pay 79.99 USD)