In a wide pot in olive oil, stew the chopped leek (white and light green part) for about 4 minutes.
When the leek is soft, add peeled and cubed potatoes and butter and fry together for about 2 minutes. Season with salt and pepper.
Pour in hot broth and bring to a boil. Cover and cook for about 10 minutes. Add diced broccoli and cook covered for about 5 minutes until vegetables are tender.
Pour in the heavy cream, add about 1/4 of the Gorgonzola, transfer to an immersion blender and blend into a smooth cream. Serve with the remaining cheese cubed, with kale chips and chives.