Peel the eggplant (leaving small strips of the peel on) and cut it into 1″ cubes. Lay on a large baking sheet and toss with 1 tablespoon evoo. Roast in a 425 degree oven for 10 minutes. Stir and return to oven for about 20 minutes more until the eggplant is tender and caramelized. Set aside.

Heat 1 tablespoon of the olive oil over medium heat in a large, heavy nonstick skillet and add the onion and celery. Cook, stirring, until the onion softens, about 5 minutes, and add the garlic. Cook together for a minute, until the garlic begins to smell fragrant, and add the peppers and 1/2 teaspoon of salt. Cook, stirring, until just about tender, about 8 minutes. Add another tablespoon of oil and the eggplant, and stir together for another 5 minutes, until the vegetables are tender. The eggplant will fall apart, which is fine. Season to taste.

Add the tomatoes to the pan with about 1/2 teaspoon salt and a pinch of sugar. Cook, stirring and scraping the bottom of the pan often, for 5 to 10 minutes, until the tomatoes have cooked down somewhat and they smell fragrant. Add the capers, olives, remaining sugar, and vinegar. Turn the heat to medium-low and cook, stirring often, for 20 to 30 minutes, until the vegetables are thoroughly tender and the mixture is quite thick, sweet, and fragrant. Season to taste with salt and pepper and remove from the heat. Allow to cool to room temperature. If possible, cover and chill overnight. Serve at room temperature.