Preheat the oven to 400°F and line a baking sheet with parchment paper.
Cut the eggplant in half lengthwise and place both halves face down on the baking sheet. Pierce the eggplant halves a couple more times so the steam can escape.** see notes for roasting on a bbq.
Bake eggplant until very soft, blackened and wrinkly on the exterior, about 40-45 minutes. Remove eggplant and let cool slightly.
In a food processor, pulse the walnuts until they are finely ground. Next to the food processor, add the tahini, yogurt, lemon juice, cumin, garlic,, salt, and pepper. Process until smooth and creamy.
Once cooled scoop the soft flesh out of the cooled eggplant and transfer it to the food processor. Pulse the food processor motor a few times until you have a slightly chunky, but mostly smooth and luscious dip, scraping the sides down if necessary.
Adjust the dip for seasoning if necessary. Transfer the dip to a shallow bowl, spread it in concentric circles making a couple of deeper trenches for the beautiful olive oil and garnishes to accumulate. Garnish with sumac, chili flakes/paprika, ground cumin, parsley, olive oil, and pomegranate molasses if using.
Serve the dip at room temperature with vegetable crudies, pita chips or crackers or part of a summer meal with meatballs, Shirazi salad and pitas.