Place a grill pan over medium-high heat or preheat a gas or charcoal grill. Spray the grill pan with vegetable oil cooking spray.
In a medium bowl, toss together the apple slices and safflower oil. Grill until lightly charred, about 2 minutes on each side. In a small bowl, combine the cinnamon and ginger. Sprinkle the cinnamon mixture over the grilled apple slices.
In a 1-quart saucepan, combine the maple syrup, cream and butter over medium-high heat. Bring to a boil and cook, until the mixture turns golden, about 4 minutes. Set the pan aside to cool slightly. Add the mascarpone cheese and whisk until the mixture is smooth.
Divide the apple slices among 4 small plates. Drizzle with the cream. Sprinkle with the chopped hazelnuts and serve.