UC Berkeley-based Cal Performances will welcome the Miami City Ballet to open its 2022-2023 season Sept. 23-24 with three performances in Zellerbach Hall of choreographer George Balanchine’s triptych ballet “Jewels,” set to music by Fauré, Stravinsky and Tchaikovsky, and bring it to a thrilling close with the Eifman Ballet of St. Petersburg June 9-11, 2023, presenting the West Coast premiere of Boris Eifman’s “Russian Hamlet,” which reimagines the Shakespearean tragedy in the violent world of the Romanovs and is set to music by Beethoven and Mahler. The new season, announced by artistic and executive director Jeremy Geffen Wednesday, will present some 70 performances of 50 different programs, spread across genres such as dance, orchestra, chamber music, early music, theater and opera, jazz, recital, new music and more.