Finely dice the vegetables without peeling them. Sweat the onion and leeks in butter then add the remaining vegetables and the bouquet garni. Cover with water. Cover and simmer gently for 1 hour. Season then strain to obtain a clear stock.
Sweat the onions in butter then add the carrots. Submerge in the vegetable stock. Add the vinegar, Curry Imperator and season. Once the vegetables are cooked, mix and whisk in the butter. Chill and transfer into a piping bag.
Use the same method as for the yellow carrot purée, just add ginger and cream during cooking.
Extract the juice of the purple carrots using a juicer. Combine the carrot juice with the balsamic vinegar reduced to a glaze, salt and pepper and the gelatine sheets. Keep the jelly at room temperature.
Cut 3/4 of the carrots to a brunoise. Cut the remaining 1/4 into 2mm thick slices using a mandolin, then cut into 3cm long right-angled triangles. Crush the coriander seeds and crack the black pepper. Place these spices, the mustard seeds and the chopped garlic into a cloth bag. Add vinegar, water, sugar and salt to the mixture. Bring to boil then add the carrot brunoises and triangles. Simmer for 4 mins, cover and leave to infuse for 1 hour. Cool and leave to marinade for 24 hours. When ready to use, drain the pickles and pat dry. Incorporate the gelatine to thicken the marinade. Before presentation, glaze the carrot brunoise and triangles with this mixture.
Tie the bunch of carrots by the tops: boil in salted water, cool in iced water and pat dry. Cut into quarters. Glaze with some of the thickened marinade.
Use the mandolin to slice the carrots to a thickness of 2mm. Fry in oil at 311°F for 2 mins until crisp, but do not brown.
Garnish the hot verrine with a layer of the yellow carrot purée. Set in the freezer. Repeat the operation with the white carrot purée. Repeat again with the purple carrot jelly and place in the refrigerator to set. Decorate each verrine with two baby carrot quarters. In the centre, form a dome with a half teaspoonful of the brunoise cut pickle. Place one triangle of each of the yellow, orange and purple carrots in front. Decorate with a crisp and carrot top leaf.