Gilbert is a large Martian crater located in the south of the planet in the area of Promethei Terra. It is one of several large craters in the heavily pock-marked upland region. It was named in 1973 in honour of American geologist Grove K. Gilbert. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On Mars large craters are named after deceased scientists, writers and others who have contributed to the lore of Mars. Small creaters (less than 60km) are named after small towns and villages.