As nouns the difference between summit and conference
is that
summit is (countable) a peak; the top of a mountain while
conference is the act of consulting together formally; serious conversation or discussion; interchange of views.
As verbs the difference between summit and conference
is that
summit is (transitive|hiking|climbing|colloquial) to reach the summit of a mountain while
conference is (education) to assess (a student) by one-on-one conversation, rather than an examination.