Roast the jalapeños in a skillet over medium-high heat.
After they are softened a bit, slice in half lengthwise and remove the seeds. Flatten the pieces and continue cooking skin side down in the skillet until they are blackened. Dice finely.
In a soup pot, sauté the onions in the sesame oil until the onions are browned and sweet to the taste. Add the chicken, green pepper, garlic, and jalapeños. Sauté briefly.
Add the stock, soy sauce, sea salt, and pepper and bring to a boil.
Press the grated ginger with your fingertips to extract about 1 teaspoon of ginger juice. Add the juice to the soup, cover, and simmer for 15 minutes.