“The King and I,” the 1956 best picture nominee starring Yul Brynner and Deborah Kerr, will be screened at the Academy of Motion Picture Arts & Sciences at 8 p.m. Thursday.Immediately following the screening, an exhibition of Brynner’s photographs will be on view. The show, “Yul Brynner: Photographer,” which opens to the public the following day, will feature 30 black-and-white and color images chronicling Brynner’s experiences with directors and fellow actors including Cecil B. DeMille, Charlton Heston and Mia Farrow. Brynner won an Oscar for his role in “The King and I.” Tickets for the screening are $5 for the general public, $3 for Academy Members. The exhibition, which is free and open to the public, runs through Jan. 26. For more information call the Academy at (310) 247-3600.