Preheat oven to 325°. Grease a foil-lined 15x10x1-in. baking pan. In a small saucepan, combine the first seven ingredients; bring to a boil. Reduce heat; simmer 2-3 minutes or until syrupy, stirring occasionally. Strain and discard ginger slices.
Place pecans in a large bowl; drizzle with syrup mixture and toss to coat. Transfer to prepared pan. Roast 20-25 minutes or until toasted, stirring occasionally. Cool completely in pan on a wire rack. Store in an airtight container.