What is the main conflict in The Playboy of the Western World by John Millington Synge?

The play focuses on the reception given to Christy Mahon as he wanders into a small Irish village, declaring that he has just murdered his father. The villagers initially embrace Christy, determining that his courageous act has made him "the playboy of the western world." Their vision of him, however, soon changes as the plot develops. In his depiction of the interaction between Christy and the villagers, and especially of the relationship between Christy and Pegeen Flaherty, an attractive, strong-willed, young local woman, Synge explores the effects of social conventions and celebrates the power of the imagination.