Cumberbatch has been wowing audiences as the Dane since August in Lyndsey Turner’s production at the Barbican. The excerpts of his performances were tantalising, and there was a brief trip to an east London school to watch pupils interpret “To Be or Not to Be”, during which Cumberbatch was enthusiastic, generous and inquisitive. But the meat of it was in the head-to-head between actor and presenter which explored how Hamlet’s feigned madness “weaponised theatre”, allowing him to disrupt the Danish court from behind a mask. And that there are shades of extraordinary rendition in Hamlet’s passage to England. These were provocative ideas, diligently teased out by both men.