A title card at one point says "The Mariinsky Theatre, Leningrad." However, the theater did not regain that historic Tsarist-era name until 1992. At the time the film is set, during the Soviet era, the building was known as The Kirov Theatre.
In a scene showing a close up of Nureyev's foot performing a tendu, the shoe he is wearing is a white split sole ballet slipper, a shoe that did not exist in the 1960s. Split sole ballet technique shoes have only been on the dance scene since the mid 1990s.