Light Yagami's interactions with the Shinigami, specifically Ryuk, are significant because they serve as a commentary on power, morality, and the consequences of one's actions. The presence of the Shinigami challenges Light's sense of control and superiority, highlighting the moral ambiguity of his actions and the inevitable downfall of his pursuit of power. Additionally, Ryuk's interactions with Light provide insight into the nature of humanity and the fragility of power when faced with the supernatural.