Conquest (覇王 Haō Lit. Conqueror in the Japanese version, Annihilation in the French version) is a unique skill in Fire Emblem Awakening. The user does not take bonus damage for any of their beast and armor weakness such as Armorslayers and Beastbane-wielding Taguel. It does not affect dragon units.
Conquest can only be equipped by male units in Awakening, much like how Shadowgift is exclusive to females.