"Old Man Logan" is a version of Wolverine from a post-apocalyptic future roughly fifty years from the present. He was tricked into killing the X-Men by Mysterio during a villains' uprising. Five hundred years from the present, this version of Logan eventually became a hero called the Hooded Man, traveling back in time as part of the New Defenders, and later Fantastic Force.
The current version of Old Man Logan fell to Earth-616 from a Battleworld incarnation of his timeline, long before he became the Hooded Man. Whether this Logan will eventually return to his proper timeline and become Hooded Man, or if he is now a divergent version of the character, is unknown.