Knead the flour, egg, fat in flakes, 2 tablespoons of sugar and salt into a smooth short pastry. Cover and chill for about 30 minutes. Drain the apricots. Sprinkle a greased tart tin (24 cm Ø) with remaining sugar.
Place the apricots close together on the base with the round part facing down. Knead the dough briefly and roll out into a circle (27 cm Ø). Place the dough over the apricots and carefully push the edge under the apricots.
Bake in the preheated oven (electric cooker: 225 ° C/ gas: level 4) for about 30 minutes. In the meantime, melt the fat in a pan, add sugar and almond slivers, allow to caramelize slightly. Pour on parchment paper and let it cool down.
Carefully turn the cake out of the tin. Warm the jam, pass it through a sieve and spread it on the hot apricots. Sprinkle almond slivers on the slightly cooled cake. Dust with icing sugar.
Add some whipped cream as desired. Makes about 8 pieces.