Preheat oven to 425°. Brush eggplant all over with vegetable oil. Place on parchment-lined sheet pan, cut side down, and roast 20 min, turning over halfway through. Remove from oven and turn broiler to high. Combine remaining ingredients up to and including black pepper, and brush on cut side of eggplant. Broil eggplant with cut side up to caramelize the glaze, approx. 2-4 min. Watch closely to avoid scorching. Remove from oven, plate, garnish with sesame seeds and green onions, then serve immediately.