Named after Torbern Olof Bergman - Swedish chemist, mineralogist, astronomer (1735-1784).
Bergman is a small lunar impact crater on the far side. It is located on the interior floor of the walled plain Mendeleev, and is attached to the edge of the inner wall to the northwest. On the same walled basin are the craters Moissan to the south and Richards to the west. The rim is roughly circular, and the formation is generally bowl-shaped. (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.