London, and the river that runs through it, is at the heart of the new play London Tide, an adaptation of Charles Dickens’ Our Mutual Friend. Ben Power has adapted the novel and co-written original songs with the singer-songwriter PJ Harvey. He tells Adam Rutherford that although it combines the savage satire and social analysis of the original, it is, in essence, a love letter to the capital. London Tide is playing at the National Theatre until 22nd June. The award-winning architect Amanda Levete reflects on the challenges of designing buildings and public spaces in major historic cities around the world – taking into consideration the aesthetics of the built environment, whilst meeting the needs of the community and tackling sustainability. Amanda Levete considers the Pompidou Centre in Paris to be one of the twentieth century’s most iconic buildings and an inspiration for her own architectural practice. The journalist Simon Kuper takes stock of his adopted city, as Paris prepares for the Olympics. In Impossible City he explores today’s ‘Grand Paris’ project which aims to connect its much famed central areas with its neglected suburbs. Producer: Katy Hickman