How to Make It
Place a 10-inch cast-iron skillet in oven; preheat oven to 425°F. Let skillet preheat in oven 15 minutes.
Whisk together eggs and buttermilk in a large bowl until frothy, about 1 minute. Whisk in brown sugar and cane syrup. Set buttermilk mixture aside.
Whisk together cornmeal, flour, baking powder, salt, and baking soda in a separate bowl. Add cornmeal mixture to buttermilk mixture; stir using a wooden spoon until combined.
Carefully remove preheated skillet from oven. Add butter to skillet; swirl skillet to melt butter, evenly coating bottom and sides of skillet. Pour melted butter into cornmeal batter in bowl; quickly stir to incorporate. Pour batter into greased hot skillet; immediately transfer to preheated oven.
Reduce oven temperature to 375°F; bake cake until top is evenly browned and sides are dark golden and pull away from skillet, 30 to 35 minutes. Immediately invert cake onto a wire rack. Let cool 15 minutes. Serve warm with Buttermilk Cream.