Colella plays Anne in the musical at the Richard Rodgers Theatre.
The Public Theater coproduction names the stars of its Cambridge mounting.
Wright joins the previously announced E. Faye Butler.
Kate Benson's drama plays New York City Center Stage II.
The award is given to an established theater professional who is associated with the Guthrie.
The new musical is directed by Dan Knechtges.
The company also presents The Mikado and The Pirates of Penzance this holiday season.
Adam Bock, Bruce Coughlin, and Mimi Lien have also been selected.
Casey Nicholaw directs and choreographs the production.
A full list of speakers for the fourth annual conference has been announced.