go after vs seek

go after is not a noun while seek is a noun.

Word	Noun	Adjective	Verb	Adverb
go after	No	No	Yes	No
seek	Yes	No	Yes	No

As verbs, seek is a hypernym of go after; that is, seek is a word with a broader meaning than go after:

Other hypernyms of go after include look for, search.

go after (noun)	seek (noun)
	the movement of a read/write head to a specific data track on a disk

go after (verb)	seek (verb)
go in search of or hunt for	inquire for
go after with the intent to catch	try to locate or discover, or try to establish the existence of
	go to or towards
	try to get or reach
	make an effort or attempt