Anthony (Anthony Hopkins), a retired engineer in his early 80s, lives in a spacious and elegant London apartment—alone, which, as his daughter Anne (the ever-transfixing-to-watch Olivia Colman) tries gently to tell him on one of her daily visits, is starting to be a problem. Anthony is still energetic and physically healthy, but his memory is beginning to fail, and he has fired his last few caregivers over perceived infractions that are probably just figments of his imagination. “I don’t need anyone,” he snaps at Anne, in the stiff-upper-lip denial of interdependence that will become one of his last remaining character traits as he slips into dementia.