Preheat the oven to 200 C.
Sprinkle the halibut ( 150 gr fillet pp) on both sides with salt and pepper. Heat 2 tbsp oil in a large skillet with an ovenproof handle over medium-high heat until it begins to shimmer but is not smoking. Place the fillets skin side down in the hot oil and sear until the fish begins to turn color, 2 to 3 minutes. Turn the fillets and add 1 tbsp lemon juice, 100 cl white wine and 3 tbsp butter to the pan. As soon as the butter melts and becomes foamy, add a tbsp rinsed capers and 12 halved cherry tomatoes and simmer until the tomatoes release some juices, about 1 minute.
Place the pan in the oven until the fish is cooked through, 7 to 10 minutes.
In the meantime fill a large pot about 3/4 full of water and bring to a boil. Stir in 2 tbsp sugar and 1 tbsp lemon juice, dissolving the sugar. Gently place an ear of corn into boiling water, cover the pot, turn off the heat, and let the corn cook in the hot water until tender, about 10 minutes.