Final answer:
Henry IV resolved his dispute with Pope Gregory VII by performing penance in Canossa in 1077, which led to the lifting of his excommunication.
Step-by-step explanation:
Henry IV resolved the conflict between himself and Pope Gregory VII through an act of penance, which came to be known as the Walk to Canossa in 1077.
After Pope Gregory VII excommunicated Henry IV due to the investiture controversy over the appointment of church officials, Henry realized that he needed to reconcile with the pope to secure his position as emperor and to quell rebellion among the German princes.
He traveled to Canossa in Italy, where Gregory was staying, and performed an act of penance by standing barefoot in the snow for three days, seeking forgiveness. This act of humility persuaded Gregory to lift the excommunication, thereby resolving their conflict temporarily.
It's important to note that this narrative doesn't directly relate to the details provided by the LibreTexts excerpts, which mostly discuss later events in French history, such as the Edict of Nantes issued by the French king Henry IV in 1598, and conflicts involving other rulers like Henry VIII and Frederick II.