The distinction Palamas drew is now dogma in the Orthodox churches and is the single point at which Eastern and Western theology diverge most sharply on the doctrine of God.
Stated carefully, the claim is that in God there is the essence, which no creature will ever know or participate in, and there are the energies, the divine life in act, which are uncreated, are fully God, and in which a human being genuinely participates. Theosis, the deification of the human person that Eastern theology treats as the point of the whole Christian enterprise, is participation in the energies. Without the distinction, on this view, either God is unreachable and the promise is empty, or the creature absorbs the divine essence, which is incoherent.
The standard Western objection is that this introduces a real distinction into God and so compromises divine simplicity, which the scholastic tradition regards as fundamental: whatever is in God is God, without composition of any kind. Thomist theology handles the same problem differently, through the doctrine that God is known by created grace and the beatific vision. Latin theologians condemned Palamism roundly for centuries; twentieth century Catholic scholarship has been considerably more sympathetic, and some of it argues the two accounts are addressing different questions.
The atlas records the position, the objection, and the fact that the disagreement is live rather than settled.