If you prefer dark meat, use boneless skinless thighs that are pounded out to an even thickness so they grill quickly. Aïoli is really nothing more than a thick, aromatic garlic mayonnaise and is the heart of midsummer celebrations of seasonal vegetables in southern France. Here the mayo is made with roasted garlic and fresh herbs—the perfect sauce for grilled chicken.
Heat grill to medium heat. To make aïoli, place garlic and herbs in a mini chopper or blender with a dash of salt. Process until smooth. Add egg yolks; process until blended. Slowly start adding the oil with the motor running until the mixture is thick and glossy. Add the lemon juice and process another few seconds until the mayonnaise is smooth. Set aside.
Cut chicken breasts horizontally into thin cutlets (paillards). Brush with oil and season both sides of each cutlet with herbs de Provence, salt, and pepper.
Grill the chicken for about 3 minutes, turning once, until no longer pink in center.
Spoon the aïoli in a bowl and place it on a large platter or tray. Surround the bowl with the chicken, vegetables, hard-cooked eggs, and garbanzo beans. Garnish the platter with fresh herbs.
*Feel free to substitute other favorite summer vegetables for the ones suggested, for example fresh fennel, cherry tomatoes, roasted sweet bell peppers, baby carrots, sugar snap peas, or tiny fingerling potatoes. It’s fine to mix up how they are prepared—raw, steamed, or grilled.