Make this family-friendly chili for dinner and pack up leftovers for lunch the next day. The flavors only get better overnight.
Season chicken on both sides with salt and pepper. Heat oil in a large (6 quart) pot over medium-high heat until shimmering. Sear chicken in batches, turning once, until golden, 7 to 8 minutes. Transfer to a plate.
Reduce heat to medium; add onion and poblanos. Cook, stirring occasionally, until softened, about 5 minutes. Stir in garlic, cumin, coriander, and chili powder, and cook until fragrant, 1 minute more. Stir in canned chiles. Add chicken back to pot along with broth and juices, scraping up bits from the bottom of the pan. Bring to a boil then reduce heat to medium-low and simmer, partially covered, until chicken is cooked through and flavors meld, about 15 minutes.
Remove chicken to a plate and shred into bite-size pieces. In a small bowl, whisk together cornmeal with 1 cup hot cooking liquid. Return to pot, along with beans, and simmer 5 minutes. Stir in chicken until heated through. Taste and adjust seasoning. Divide among bowls and top with sour cream, fresh cilantro sprigs, tortilla chips and lime.