Preheat oven to 350°F.
In a medium-size bowl, mix together the corn and black beans.
Heat a small skillet over medium-high heat, add a tortilla to the skillet and let it toast until it starts to slightly scorch then flip it and do the same on the second side. Repeat with all the tortillas. Place 2 toasted tortillas in the bottom of an 8x8 baking dish. Top with 1/3 of the corn/black bean mixture, 1/3 of the chili and a handful of cheese.
Repeat this procedure, layering tortillas, corn/bean mixture, chili and cheese. Top with remaining single tortilla and remaining cheese.
Transfer to the oven for 20 minutes or until you see the sides bubbling. Garnish with chopped olives and cilantro.