Wash the herbs, dab dry and finely chop the leaves of chervil and parsley. Cut the chives into small rings, except for 8 stalks. Casserole dish with half the garlic
Peel and wash the potatoes and slice them into very thin slices. Mix the potatoes, cream, milk and 3/4 of the herbs in a bowl and season with salt, pepper and a little nutmeg. Spread the potatoes evenly in the dish.
Grate cheese. Pour herbal cream over the potatoes and sprinkle with cheese. Bake the casserole in a preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: level 3) for approx. 45 minutes. In the meantime, clean and wash the salad and let it drain in a sieve.
Wash the tomatoes, dab dry and cut in half. Peel, wash and grate the carrot. Cut 4 chives into thin rings. Shortly before the gratin is ready, mix vinegar, mustard and chives, fold in oil.
Season the vinaigrette with salt, pepper and a little sugar. Sprinkle gratin with chopped herbs, garnish with 4 chives and then cut into pieces. Mix salad and vinaigrette. Arrange gratin and salad.