Add the milk, oats, yogurt and chia seeds to a pint-sized Mason jar or other container and give them a good stir. Refrigerate overnight or for at least 5 hours.
Spoon the Peach Compote on top of the oats mixture and add toppings as desired. Serve.
Combine the peaches with the syrup, vanilla, cinnamon, ginger and 2 tablespoons water in a medium saucepan. Bring the mixture to a boil. Reduce the heat and simmer, stirring occasionally, until the maple syrup begins to caramelize and the mixture thickens, 8 to 10 minutes. Cool completely, then store in an airtight container, refrigerated, for up to 1 week.