This past year's offerings included a vocal workshop with opera singers and Broadway actors at Lincoln Center and a rehearsal of the New York Philharmonic.
With two 53-story towers, the $1.7 billion complex will include a television studio, hotel, luxury condominiums and a home for Jazz at Lincoln Center.
After months of delays, the city and state required developers to include a 100,000-square-foot home for Jazz at Lincoln Center.
Upstairs bait includes Jazz at Lincoln Center and restaurants.
Harrison's work in Manhattan includes Rockefeller Center, the United Nations and the Metropolitan Opera House at Lincoln Center.
The night of his death, the company went on with its scheduled performance, which included Divertimento No. 15 and Symphony in C at Lincoln Center.
This includes the building of a $128 million complex for Jazz at Lincoln Center, opening this fall, where a great deal of his music will be performed.
"Undertow" will not be seen during this season's festival, which also includes an exhibition and seminars at the New York Public Library at Lincoln Center.
Mr. Gimble's company also expects to allow ticket buyers to print their own tickets beginning this summer for some of its 4,100 other sites, which include the theaters at Lincoln Center.
Performance spaces include The Garage, Symphony Space, and the Allen Room at Jazz at Lincoln Center.