To gain control of or subdue by military force: conquered the neighboring lands. To defeat in war: The Greeks conquered the Persians. See Synonyms at defeat.
To eliminate or minimize (a difficulty, for example): vaccines that conquered smallpox; programs to conquer poverty. To overcome or surmount mentally or emotionally: You must conquer your fear of heights.
To reach the summit of (a mountain) by climbing.
To gain the affection or admiration of: back when jazz conquered Paris. To seduce.