1. Place the apples, brown sugar, cornstarch, cinnamon, and nutmeg in a slow cooker. Stir to combine.
2. Cover and cook on high for 2 hours or on low for 4 hours, until the apples are bubbling and tender.
3. To serve, put 1⁄2 cup of the apples in each of 8 small bowls. Top each with 1⁄2 cup frozen yogurt.