What is "longobardia"

Longobardia (, also variously Λογγιβαρδία, Longibardia and Λαγουβαρδία, Lagoubardia, was a Byzantine term for the territories controlled by the Lombards in Italy. In the 9th-10th centuries, it was also the name of a Byzantine military-civilian province (or thema) known as the Theme of Longobardia located in southeastern Italy.