At New York City Ballet, History Is About to Change

**EDS.: RETRANSMISSION TO CORRECT DATE OF MARTIN'S RETIREMENT** In a June 15, 1972 file photo, George Balanchine with a dancer backstage during New York City Ballet’s Stravinsky Festival. Peter Martins, who retired Jan. 1, 2018, after accusations of sexual harassment and physical and verbal abuse of dancers over decades, inherited the duties — teaching, choreographing, casting, commissioning, supervising, coaching — that once were Balanchine’s. (Jack Manning/The New York Times)