The American Ballet Theatre has appeared at the Segerstrom Center for the Arts in Costa Mesa more than has any other dance company. For the center’s 25th season, ABT presents the world premiere of Alexei Ratmansky’s production of The Firebird April 29-May 1. “One of the most beautiful sights in dance is American Ballet Theatre in full flight,” writes the New York Post. The New York Times describes the Alvin Ailey American Dance Theater, performing March 6-11, as “a company that clearly believes that dance is a gift to be shared with the audience.” The troupe offers its signature work, Revelations, and other contemporary works. 600 Town Center Drive, Costa Mesa, 714.556.2787. www.scfta.org