The first thought upon sitting down for “Computer Chess” might be one of snobby resistance. Director Andrew Bujalski has been credited as the godfather of mumblecore, a movement that has produced a number of interesting pictures but one that still invites scorn for supposedly lowering the discourse of independent filmmaking. As usual, here he’s working with a collection of non-actors, though they may be the least photogenic bunch he’s ever shot: there’s certainly no one as bewitching as “Funny Ha Ha” star Kate Dollenmayer, or even as intriguingly polysexual as Alex Karpovsky in “Beeswax.” It’s a period picture taking place in 1980 and the film is shot on video using the technology of that era, giving the picture a fuzzy cable access look. Movie tickets cost a lot of money so when you see a visual like that, there’s a tendency to blanch, but what does...