Where in the brain are the vital centers located in the event of damage to which instant death occurs?

Our entire brain is essential for our lives. There are no unnecessary parts, as we would have lost them in the process of evolution. But some parts of the brain can be removed, and this is done with certain operations and a person can live peacefully without deviations, both physical and psychological. You can even remove one of the hemispheres. Then only some perceptions will be disturbed and some talents or abilities will disappear. But if you damage the cerebellum, thalamus, hypothalamus or bridge, then almost instant death will occur, since these parts regulate life processes.