Heat a large Dutch oven over medium-high heat. Add olive oil, onion, and poblano peppers; season with 1/2 tsp. salt. Cook for 5 minutes, stirring occasionally.
Add garlic and jalapeño; cook for 2 minutes. Stir in cumin, coriander, chili powder, black pepper, and oregano. Cook for 1 minute until fragrant.
In a small cup, whisk together 1/2 cup chicken broth and cornmeal.
Pour in remaining chicken broth, cornmeal mixture, white beans, green chilis, and corn. Bring to a simmer; cook for 10 minutes.
Stir in cooked chicken; simmer for 5 minutes. Add heavy cream, lime juice, and cilantro. Adjust salt to taste and remove from heat.
Serve hot with tortilla chips, cheese, sour cream, and extra cilantro.