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BOOK NOW: MARILYN & ELLAKnown for BBC2’s Newsnight Review (and now for taking  Nick Griffin down several pegs on Question Time), Bonnie Greer is also a respected playwright. Find out how good she is via a fleeting West End appearance of her 2006 play Marilyn &Ella. Describing the relationship of Marilyn Monroe and Ella Fitzgerald, it’s interspersed with numerous hit songs. Sundays, 15-29 Nov, Apollo Theatre, Shaftesbury Avenue, W1V 7HD. Tickets £15-£32 from www.theatretickets.co.ukLONDON JAZZ FESTIVALStarting on Friday, saxophones will be blown, double basses plucked and grooves felt across the capital with this year’s London Jazz Festival. Performers include Brazil’s Gilberto Gil, (right) Branford Marsalis, Sonny Rollins and Tortoise. 13-22 Nov, various venues. For tickets and more information visit www.londonjazzfestival.org.ukJEWELLERY AT THE NATIONALIf you’re a fan of all things sparkly and jewel-encrusted, head to the National Theatre, where jewellery by some of the world’s leading designers are on show in the annual Dazzle exhibition. Every item is hand-crafted, and the showcase also supports up-and-coming jewellery makers. Until 13 Jan, National Theatre, Southbank. www.dazzle-exhibitions.com