Watching the trailer, I like how they tried to split the difference between algebraic notation and descriptive. Algebraic would be "e4". Descriptive would be "P-K4". They have "P-e4". :D
I need to check IMDb to see who (if anyone) served as a chess advisor to the film.
Edited to fix spelling. More coffee!
One thing you have to keep in mind is that when film makers are conveying what we view as an exciting game onto the big screeen, certain elements must be added/changed for the benefit of those viewers who would otherwise equate the watching of a chess game with watching grass grow.
So, I'm not going to nit pick as long as they avoid blunders.