The maximum of the Geminid meteor shower should occur early Tuesday morning. There should still be some around on Wednesday, too. This seems to be where they come from, and here's a star map. They should be pretty much all over the sky, though, particularly in the directions you aren't looking at the time. ;-)
And there will be a lunar eclipse the morning of the 21st, the solstice. I'll post more if I find it.
Update (12/14/10): I saw quite a few meteors between 1 and 2 am, the first time this year I've seen meteors during an official meteor shower. There should be some early tomorrow morning, too.