In a large skillet (large enough to accommodate the pasta), heat 2 tablespoons olive oil over medium heat. Add chicken, sprinkle with salt and pepper, and saute until cooked on all sides. Add cream and pesto, and bring just to a boil. Reduce heat and let simmer for several minutes, until sauce has thickened slightly. Season with salt and pepper to taste. Stir in pasta and peas and cook on heat, tossing to combine for 1 minute until warm. Serve immediately.