Preheat oven to broil. Lightly oil a baking sheet or coat with nonstick spray.
Place pepper onto the prepared baking sheet and cook until blackened, rotating as needed, about 5 minutes. Place in a bowl and cover for 5-10 minutes. Peel the skin and discard, removing the seeds and dicing.
In a large pot of boiling salted water, cook corn until kernels are tender and bright yellow, about 3-5 minutes; let cool before cutting the corn kernels off the cobs, about 3 cups.
In a large bowl, combine pepper, corn, onion, jalapeno, cilantro, lime juice, olive oil and cumin; season with salt and pepper, to taste.
Serve with tortilla chips or place in the refrigerator for up to 3 days.