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Place a 10-inch cast-iron skillet in the oven and preheat the oven to 350 degrees.
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In a medium bowl, sift together the flour, baking powder, and salt. Stir in the cornmeal.
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In a separate medium bowl, whisk together the eggs, egg yolk, milk, olive oil, and lemon zest until frothy. Add 3/4 cup of the sugar, and whisk to combine. Pour the wet ingredients over the dry ingredients and mix just until the batter is smooth.
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Swirl the butter in the hot cast-iron skillet until it has melted, and then pour the batter into the skillet. Return the skillet to the oven and cook until the center is set, about 25 minutes.
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While the cake is baking, set a 10-inch skillet over high heat, and add the cherries, lemon juice, and remaining 3/4 cup sugar. Cook until the cherries have released most of their juice, 10 to 12 minutes. Remove from the heat and set aside until ready to use.
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Allow the cake to cool in the skillet for 5 minutes. Then slice it into wedges and serve with the stewed cherries spooned over the top.