The very last Divergent trailer before the movie comes out actually explains what it means to be labeled "divergent" in this future dystopia. Warning: confusing exposition ahead.
For those of you who haven't read the YA book by Veronica Roth, we learn that the new Chicago survived some sort of war that's shrouded in secrecy. But apparently, Chicago needed to be surrounded by a giant fence. Now the city is split into different factions, which are based on the citizens' defining character traits. Not surprisingly, some folks don't fit into a faction. They are divergent. Divergent is bad.
So there you have it. Kind of. Of course it's much more complicated than that, and there's a love affair thrown into the mix — but the basic gist is "divergent bad." Divergent will be in theaters on March 21, 2014.