Named after Al-Khayyāmī Khayyam - Persian mathematician, astronomer, poet (c. 1048-c. 1131).
Omar Khayyam is a lunar crater that is located just beyond the northwestern limb , on the far side from the Earth. However under such circumstances not much detail can be seen, and the crater is best viewed from orbit. The east-southeastern part of the interior floor is overlain by a smaller and younger crater. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.