In Shirley Jackson's "The Lottery", the technical climax or the part where the narrative takes a dramatic turn is when Tessie states, "You didn't give him enough time to pick the one he wanted. I saw you. It isn't fair" At this point, we know that the lottery is definitely not something that we want to win. The dramatic climax is likely when the townspeople begin to pick up the stones after Tessie "won". Now we know what those rocks were for and we are fairly sure we know what they are going to do.
The resolution of the story is definitely not a pretty picture. Simply put: the problem is that someone has to die. The resolution is that someone does indeed die: Tessie. As for the theme, there are many, but my favorite is the one that shows society sometimes blindly follows tradition without asking why.