Linguine with Asparagus Morels and Fava Beans

Name: Linguine with Asparagus, Morels and Fava Beans
Ingredients: 1/2 ounce dried morel mushrooms, or 1/4 pound fresh morels, cleaned and sliced; Salt; 3/4 pound asparagus, ends trimmed, cut on the diagonal in 1 inch pieces; 1 pound linguine; 1 tablespoon extra-virgin olive oil; 1 tablespoon butter; 1 garlic clove, minced; 1/2 cup chicken stock; 1 cup heavy cream; 1 cup blanched and shelled fava beans; Freshly ground black pepper; Grated Parmigiano-Reggiano cheese for serving