Boil the water with 50 grams (1/3 cup) of sugar and a vanilla pod split in two.
Remove the pits from the peaches, add them to the water and boil for 10 minutes, then turn off the heat and cover the pot.
Cut 300 grams (1 1/4 cup) of peaches into chunks. Add a drizzle of lemon juice and blend them. Once you have a fine peach purée, strain it through a fine sieve.
Set aside 100 grams ( 2/3 cup) of the purée for the jelly. Heat up the remaining purée along with the grated ginger.
Hydrate the gelatin sheets in cold water. After 5 minutes, add it to the peach purée. Mix well.
Next, add the vanilla and Greek yogurt and mix until fully incorporated. Refrigerate.
When the peach cream begins to thicken in the refrigerator, add the powdered sugar to the whipping cream and mix until it becomes firm. Then incorporate it into the peach cream.
Pour 2/3 of the mixture over the cake and place the cake in the refrigerator.
From the acetate sheet make 2 rolls, 30 cm (12 inches) long and 1.5 cm (1/2 inches) in diameter.
Put the remaining mousse in a piping bag and fill the two rolls. Close the ends with foil and slide them into the freezer.