conference vs majors

conference and majors both are nouns.

Word	Noun	Adjective	Verb	Adverb
conference	Yes	No	No	No
majors	Yes	No	No	No

As nouns, majors is a hyponym of conference; that is, majors is a word with a more specific, narrower meaning than conference:

conference: an association of sports teams that organizes matches for its members
majors: the most important league in any sport (especially baseball)

conference (noun)	majors (noun)
a discussion among participants who have an agreed (serious) topic	the most important league in any sport (especially baseball)
a prearranged meeting for consultation or exchange of information or discussion (especially one with a formal agenda)
an association of sports teams that organizes matches for its members