Peel and wash the potatoes and cut them into thin slices. Grease a gratin dish and place the potatoes in the dish in flakes. Mix cream and milk, season with salt, pepper and nutmeg.
Pour over the potatoes. Sprinkle with cheese. Bake in the preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: level 3) for approx. 35 minutes. In the meantime, wash the herbs and dab dry. Put some chervil aside for garnishing, chop the rest finely, cut chives into small rolls.
Mix cream cheese with herbs. Season to taste with salt and pepper. Wash the meat, dab dry. Cut the chicken fillets crosswise with a sharp knife. Tap the meat between 2 layers of foil thinner.
Season the meat with salt and pepper, brush with the cream cheese, roll it up and pin it with toothpicks. Heat 2 tablespoons of oil in a pan or frying pan. Fry the rolls in it all around.
Add stock and wine and stew covered for about 8 minutes. Clean, peel and wash the carrots. Halve lengthwise and cut into pieces. Heat 1 tablespoon of oil and fry the carrots at low heat for about 10 minutes.
Remove the rolls from the braising liquid and keep warm. Stir the sauce thickener into the boiling liquid, simmer for about 1 minute. Season to taste with salt and pepper. Add the rolls to the sauce. Add butter to the carrots, sprinkle with sugar.
Glaze while turning for 2-3 minutes, season with salt. Serve the rolls with carrots and gratin. Garnish with chervil.