Preheat oven to 170C. Grease sides of a 20(ish) cm round spring-form or push-bottom cake pan.
Drain figs well, then slice into wedges.
Coat bottom of cake pan with the melted butter, sprinkle with the brown sugar and arrange fig slices.
Place ginger into food processor bowl and pulse until very roughly chopped.
Place remaining ingredients into processor and blend until well combined, 30-60 seconds. Spoon batter evenly over figs.
Bake for approx 40 mins, or until skewer comes out clean.
Leave in pan for 5-10 minutes, then invert onto serving plate. Serve warm or cold.