Ground Cherry Compote

I recently moved halfway around the world and find myself almost surrounded by mounds of ground cherries being sold by street vendors. Whether it's the roadside outside my apartment complex or the corner near work massive piles of ground cherries abound. I've been enjoying snacking on them, but once I figured out what they were called I started wondering what else I could do with them. (BTW, it's more like 'what aren't they called' - physalis peruviana or ground cherries are also known as Cape gooseberries, Peruvian cherries, and golden berries, among other things.)