This Alliance Tournament is the first where the qualifying rounds have been made available in audio, with commentators selected from among the game's top PvP'ers, notably Crovan and Verone -- both of whom have a well-deserved reputation for being knowledgeable about the combat side of the game.
A match schedule is also available for those who want to tune in to a particular battle. While the qualifying rounds of Alliance Tournament VI are audio-only, the finals of the tournament will be broadcast live in video, on February 7th and 8th. As an added bonus, that live video broadcast will feature some of the first footage shown from the upcoming Apocrypha expansion.
Update: While only the final rounds of the tournament will be streamed live, CCP Games is already making the qualifying rounds footage available on their YouTube page. The player-run EVE Network News is also following the matches, announcing the winners as they're declared, accompanied by audio commentary, and embedding video of the combat as it becomes available.