Some stuff will happen and some are happening now. This is a world without end and the Christ has said that He will be with us, even unto the end of time. I understand this to be a birthless and deathless journey, and a continuous Self-transcendence, as opposed to a static state with a static God.
There are those who speak of cycles or Yugas or even Ages. It is more acceptable to agree, that at the end of its Cycle, many beings will die or be wiped out somehow. But because the whole thing is evolutionary and without end, it will repeat Itself, either in some distant future with new emerging Souls, or those that are left behind or both.
The Earth is the Field of Manifestation and Realisation, and God does not wish to end Its Cosmic Game. Much Peace.