Book 7 opens with a duel. The Greeks draw lots to fight Hector and (supposedly) end the war. Nine Greeks volunteer to fight and lots are drawn. Ajax wins the lottery and fights Hector. Ajax seems to be winning but the fighters make a truce and decide to take a day off to bury and honor the dead.
Our opening question is: Who are the Greeks without Achilles?
Some followup questions are: Does this book set up Nestor being wrong in the future? Does having Achilles around damage the other heroes?