Season the chicken with kosher salt and black pepper.
Heat the olive oil in a Dutch oven over medium heat, and sear the chicken thighs. Transfer them to a plate, and sauté the onion, garlic, poblano pepper, and serrano chili in the same saucepan, until golden.
Add the cilantro leaves to the onion mixture, along with the chicken broth, beer, chicken, and hominy. Bring to a boil, turn the heat to low, cover, and simmer for 30 minutes.
Add the rice and potatoes, put the lid on again, and simmer until the potatoes are tender and the rice is cooked.
Taste for seasoning, and serve.