“Late Night” is the story of a late night talk show host who has lost her touch with the audience and is on her way out. She hires an Indian-American novice writer who changes the whole show, making it contemporary and the host beloved. The host is played by Emma Thompson as a type A, take no prisoners character and she is quite good. The Indian-American is played by Mindy Kaling, who also wrote the film. Her encounters with the male writers are funny. A nice diversion.