Orecchiette with Crab

Name: Orecchiette with Crab
Ingredients: Salt; 1 pound orecchiette; 3 tablespoons extra-virgin olive oil; 12 crimini mushrooms, thinly sliced; 2 to 3 ribs celery from the heart with leafy tops, chopped; 2 shallots, chopped; 2 to 3 cloves garlic, chopped; 1/2 pint grape tomatoes; Pepper; 1 cup green peas; 10 to 12 ounces lump crabmeat, picked through for shell pieces; A few dashes hot sauce; 1/2 cup dry white wine; 1 cup seafood stock, clam juice or chicken stock; 1/4 to 1/3 cup cream, eyeball it; A handful fresh flat-leaf parsley, finely chopped; 3 to 4 sprigs fresh tarragon, leaves chopped; Grated Pecorino Romano, optional