The Oscar-winning actress will star alongside Lily Rose Depp, the daughter of Hollywood superstar Johnny Depp, in the Rebecca Zlotowski-directed drama set in the 1930s, Variety reports.'Planetarium' will mark the first time Portman, 33, has worked with a French director since the 1994 crime thriller 'Leon' and she's reportedly been improving her language skills in preparation for the role.The plot of the movie centres on two sisters who are thought to possess the ability to connect with ghosts.While in Paris, they meet a visionary French producer - a character inspired by Jewish producer Bernard Natan, who was among the most influential figures in the film industry in the 1920s and 1930s before he was killed in a Nazi concentration camp.'Planetarium' is expected to debut in May 2016.Meanwhile, Portman was recently linked to a role in 'The Basis Of Sex'.She is reportedly wanted to play Ruth Bader Ginsburg, a real-life Associate Justice of the Supreme Court of the United States, in the film, while 'Diary Of A Teenage Girl' director Marielle Heller is in negotiations to helm the project.