Can you go home again? That's the question that will be hanging over the Royal Shakespeare Company's first residency at the Roundhouse since their "History Play" cycle stormed north London over two years ago, reminding those lucky enough to catch it of the loss to the capital ever since the RSC opted out of a London base of operations.

The relationship between stage and screen has always been fraught with antagonism and suspicion. One working in two dimensions, the other in three, they don't speak the same visual language. But recent events have helped to eat away at the status quo. On the one hand, theatre has grown increasingly intrigued by the design properties of film. Flat screens have popped up all over the place, notably in Katie Mitchell’s National shows and at the more ambitious work of the ENO. Meanwhile, theatre and opera have been encouraging those who, for reasons of distance or price, can’t make it to the show itself to catch it on a cinema screen instead.

• RCA Secret at the Royal College of Art from 12 to 19 November

The RSC’s Morte d’Arthur is not what you’d call a rushed job. John Barton, the company’s advisory director, has been on a mission to see the work performed for at least 50 years. The director Greg Doran had also been wanting to stage Malory’s epic for many years. He asked me to produce a version when we were working together on the York Mystery Plays in the Minster, to mark the Millennium. We’ve been putting it together ever since, and now it's finally opening.

Why is it that Method-ist actors are pretty much expected to spend months manically researching the inner minutiae of their character, but a much-lauded playwright can get away without providing any serious insights into his main subject matter?

The career of Simon Russell Beale (b. 1961) needs little introduction.

Scottish playwright David Greig’s new play, for the Royal Shakespeare Company in their London season at Hampstead, picks up where Shakespeare’s Macbeth left off (almost). We are in 11th-century Dunsinane, the seat of power in Scotland. Macbeth (referred to here as simply “the tyrant”) is dead, his queen (Gruach) is very much alive, and Malcolm and Macduff are poised for power as the invading English army under Lord Siward attempts to install Malcolm as puppet king over a newly united Scotland.

A new play by David Greig opens at the Hampstead Theatre for the Royal Shakespeare Company next week. A theatre director as well as playwright, Greig (b. 1969) is one of the most prolific and artistically ambitious playwrights of his generation and a key figure in the current burgeoning of Scottish theatre. In addition to an extraordinarily diverse range of plays such as Europe (Traverse Theatre, 1994), The Cosmonaut’s Last Message to the Woman He Once Loved in the Former Soviet Union (Tron Theatre, 1999) and Damascus (Edinburgh International Festival, 2009), his work includes adaptations such as his version of Euripides’ The Bacchae, starring Alan Cumming (National Theatre of Scotland, 2007), translations and plays for young people.

When I saw Gregory Doran’s production of Twelfth Night for the Royal Shakespeare Company at the Courtyard Theatre in Stratford-upon-Avon in October, I thought it unsubtle and underpowered, but that it would settle in during its run. Apparently not, as, in its transfer to London’s West End, it has gathered neither pace nor depth. That’s a real shame as there are some terrific performances at its heart.