Chicken-Chile Soup

In a large saucepan, heat the olive oil until shimmering. Add the chiles, onion, garlic, coriander and a generous pinch of salt and cook over moderate heat, stirring occasionally, until the chiles are softened, about 8 minutes. Add the stock and bring to a boil. Stir in the chicken and hominy and simmer over moderate heat for 5 minutes. Season the soup with salt. Ladle into shallow bowls, garnish with cilantro, sliced radishes and lime wedges and serve.