Corn and Poblano Lasagna

Name: Corn and Poblano Lasagna
Ingredients: 4 tablespoons unsalted butter, divided; 3 cloves garlic, minced, divided; 2 cups fresh corn kernels (from about 2 ears), or frozen and thawed; 2 cups heavy cream; 1 teaspoon fresh thyme; Salt and freshly ground black pepper; 1/2 cup thinly sliced white onion; 1 large zucchini, thinly sliced lengthwise; 4 poblano chiles, charred, peeled, stemmed, seeded and cut into 1-inch strips; 12 (7 by 3-inch) no-boil lasagna sheets; 2 cups shredded Oaxaca cheese, or mozzarella