Prepare: Preheat the oven to 350°F (175°C), conventional heat. Grease the springform pan and line the bottom with parchment paper.
Plums: Wash, halve, and pit the plums. Mix them with the sugar.1.3 lbs Italian plums + 1½ tablespoons granulated sugar
Crumbles:
Crumble: Melt the butter. Combine the flour, brown sugar, cinnamon, and salt. Pour in the melted butter and stir with a fork until crumbs form.4 tablespoons unsalted butter; ¾ cup all-purpose flour + 3 tablespoons light brown sugar + ½ teaspoon cinnamon + 1 pinch of salt
Cake batter:
Batter: Beat the softened butter and sugar until light and fluffy. Add the vanilla and eggs, one at a time, beating well after each addition.7 tablespoons unsalted butter + ½ cup granulated sugar1 teaspoon vanilla extract + 2 large eggs
Dry ingredients: Combine the flour, baking powder, and salt. Add them to the butter mixture alternately with the yogurt. Mix briefly until combined.1½ cups all-purpose flour + 1 teaspoon baking powder + ¼ teaspoon fine sea salt + ⅓ cup + 1 tablespoon full-fat yogurt
Assemble: Spread the batter evenly in the prepared pan. Arrange the plum halves on top. Scatter the crumbles over the plums.
Bake for approximately 50–65 minutes, checking after 45 minutes. A skewer inserted into the cake batter should come out without wet batter (Note 3).
Cool: Let the cake cool in the pan for about 15 minutes. Remove the springform ring and leave the cake to cool further on a wire rack before slicing.