From The Taming of the Shrew wiki
Padua
Padua is an Italian city that serves as the primary setting for William Shakespeare's comedy The Taming of the Shrew.
Padua acts as the central hub for the narrative, providing the backdrop where the wealthy Baptista Minola resides with his two daughters. The city is established as a place of learning and social hierarchy, attracting suitors from various regions who compete for the hand of Bianca Minola. It is within these city walls that the complex social dynamics of the play unfold, including the initial courtship and subsequent marriage arrangements.
Significance to the plot
The city is the location where the protagonist Petruchio arrives to seek a wealthy wife, leading to his fateful meeting with the headstrong Katherine Minola. The atmosphere of Padua facilitates the various disguises and deceptions employed by the secondary characters as they navigate the rigid expectations of marriage and dowries. The resolution of the central conflicts, including the eventual taming of Katherine, concludes within the framework of this urban setting.