Boil the eggs hard for about 10 minutes, quench and let them cool down. Wash the asparagus, peel generously and cut off the woody ends.
Clean the wild garlic, removing coarse stalks. Wash the wild garlic, spin dry and chop. Peel and halve the eggs, remove the yolks and mash them with a fork. Mix thoroughly with mustard and vinegar and place in a tall mixing bowl.
Beat the oil very slowly with a hand blender in a thin stream. Add wild garlic and mix in briefly. Finely chop the capers and egg white and fold in. Season to taste with salt, pepper and 1 pinch of sugar.
Wash potatoes thoroughly and cook them covered with skin for about 20 minutes.
Wash lemon hot and cut into slices. Boil 2 l water with lemon slices and 1 teaspoon each of salt and sugar. Cover the asparagus and cook for 12-15 minutes.
Drain the potatoes, peel them as desired and season with salt and coarse pepper. Lift out the asparagus and let it drip off. Serve with wild garlic gribiche and potatoes.