Final answer:
The conflict presents an intergenerational struggle where Waverly seeks autonomy from her mother's prideful declarations of her chess accomplishments. It represents a common theme in parent-child relationships where individual identity clashes with family expectations.
Step-by-step explanation:
The conflict that arises at the end of the story when Waverly tells her mother, 'I wish you wouldn't do that, telling everybody I'm your daughter', is centered on the themes of identity and family expectations. Waverly's statement can be seen as a form of rebellion against her mother's pride and how her mother uses Waverly's chess accomplishments to elevate her social status. This intergenerational conflict reflects Waverly's desire for autonomy and her struggle with the weight of her mother's expectations, which are interlinked with cultural values and the immigrant experience.