The main conflict I would have to say in the 8th book of the Harry Potter series would be the signs of Voldemort coming back or traces. This has been something heavily implied since the beginning of the book which is pretty obvious since the book title implies it as well. The traces were around from the beginning but showed that after Albus and Scorpius messed with time they are shown to have grown stronger. This is a conflict because it could threaten the lives of the new generation as well as start another war. Harry reacts to these traces immediately and becomes a possessive father over his son as seen when he completely restricts Albus from seeing Scorpius and calls Scorpius a “black cloud” and the “son of Voldemort”. Draco believes these traces just another rumor to pin on his son’s heritage and seems as most wizards think these signs to be untrue. The point in which the return of Voldemort is shown is when it is revealed he did indeed have a child which happened to be the source of the traces. This conflict would be an external conflict since it is a matter of whether another war is about to begin. The fact that his child has hidden themselves amongst time is something everyone deeply feared since they can’t do anything but as Harry said “Wait for her to succeed at rewriting history or fail at doing so”. Since I have not yet finished the book it isn’t clear whether the conflict has been resolved yet or not.