In a large dutch oven, combine the garlic, onion, bell pepper, tomatoes & juice, chili powder and cumin. Bring to a boil under medium high heat. Season with salt and pepper to taste. Reduce heat and simmer for about 8 to 10 minutes.
Bring the heat back up to medium high and add in ground turkey. Break up the turkey and add in black beans. Season with salt and pepper to taste. Bring to a boil, then reduce heat to a simmer and continue to cook for another 8 to 10 minutes, or until turkey is cooked through.
Ladle chili into bowls and top with shredded cheese and jalapenos.